Maths-
General
Easy
Question
In the figure, ABCD is a rectangle and PQRS is a square. Find the area of the shaded portion.
Hint:
Area of shaded portion = Area of rectangles ABCD - Area of rectangles PQRS
The correct answer is: Area of the shaded portion is 275 cm2
step-by-step solution:-
we can see from the diagram that the Area of shaded portion can be calculated by-
Step- 1: Finding the area of rectangle ABCD (with length = 20 cm & breadth = 15 cm) and
Step- 2: Subtracting the area of square PQRS (with side = 5 cm) from it.
∴ Area of shaded portion = Area of rectangles ABCD - Area of □ PQRS
∴ Area of shaded portion = length × breadth - (side)2
∴ Area of shaded portion = (20 × 15) - 52
∴ Area of shaded portion = 300 - 25
∴ Area of shaded portion = 275 cm2
Final Answer:-
∴ Area of the shaded portion is 275 cm2
Related Questions to study
Maths-
A room is 10 m long and 6 m wide. How many tiles of size 20 cm by 10 cm are required to cover its floor?
A room is 10 m long and 6 m wide. How many tiles of size 20 cm by 10 cm are required to cover its floor?
Maths-General
Maths-
A Solid is in the form of a right circular cone mounted on a hemisphere. The radius of hemisphere is 3.5 cm and height of the cone is 4 cm . The solid is placed in a cylindrical vessel , full of water , in such a way that the whole solid is submerged in water. If the radius of cylindrical vessel is 5 cm and its height is 10.5 cm . Find the volume of water left in the cylindrical vessel
A Solid is in the form of a right circular cone mounted on a hemisphere. The radius of hemisphere is 3.5 cm and height of the cone is 4 cm . The solid is placed in a cylindrical vessel , full of water , in such a way that the whole solid is submerged in water. If the radius of cylindrical vessel is 5 cm and its height is 10.5 cm . Find the volume of water left in the cylindrical vessel
Maths-General
Maths-
A path of uniform width 4m runs around the outside a rectangular field 24m by 18 m.Find the area of the path ?
A path of uniform width 4m runs around the outside a rectangular field 24m by 18 m.Find the area of the path ?
Maths-General
Maths-
The perimeter of a rectangle is 28 cm and its length is 8 cm. Find its:
(i) breadth (ii) area
The perimeter of a rectangle is 28 cm and its length is 8 cm. Find its:
(i) breadth (ii) area
Maths-General
Maths-
How many square tiles of the side 20 cm will be needed to pave a footpath which is 2 m wide and surrounds a rectangular plot 40 m long and 22 m wide.
How many square tiles of the side 20 cm will be needed to pave a footpath which is 2 m wide and surrounds a rectangular plot 40 m long and 22 m wide.
Maths-General
Maths-
A circle has a diameter of 120 metres. Your average walking speed is 4 kilometres per hour. How many minutes will it take you to walk around the boundary of the circle 3 times? Round your answer to the nearest integer.
A circle has a diameter of 120 metres. Your average walking speed is 4 kilometres per hour. How many minutes will it take you to walk around the boundary of the circle 3 times? Round your answer to the nearest integer.
Maths-General
Maths-
Find the total area in the given figure.
As per the given diagram, rectangles EFGC is in rectangular shape. However, all sides of rectangles EFGC are equal to 30 units, making it a square.
Although final answer remains the same, we should ideally consider it to be a square and solve accordingly.
Find the total area in the given figure.
Maths-General
As per the given diagram, rectangles EFGC is in rectangular shape. However, all sides of rectangles EFGC are equal to 30 units, making it a square.
Although final answer remains the same, we should ideally consider it to be a square and solve accordingly.
Maths-
A rectangular parking lot is 90 yards long and 35 yards wide. It costs about $.45 to pave each square foot of the parking lot with asphalt. About how much will it cost to pave the parking lot?
A rectangular parking lot is 90 yards long and 35 yards wide. It costs about $.45 to pave each square foot of the parking lot with asphalt. About how much will it cost to pave the parking lot?
Maths-General
Maths-
A person is standing exactly at the centre of a circle. The distance of the person from the boundary of the circle is 3 ft. Find the area of the circle.
A person is standing exactly at the centre of a circle. The distance of the person from the boundary of the circle is 3 ft. Find the area of the circle.
Maths-General
Maths-
The length and breadth of a rectangular plot are in the ratio 3: 1 and its perimeter is 128 m. Find the area of the plot ?
The length and breadth of a rectangular plot are in the ratio 3: 1 and its perimeter is 128 m. Find the area of the plot ?
Maths-General
Maths-
Find the cost of fencing a square park with 16 m side if the cost of fencing is $16/m.
Find the cost of fencing a square park with 16 m side if the cost of fencing is $16/m.
Maths-General
Maths-
If the area of a triangle is 77 m2 and its height is 
m, find the length of its base
If the area of a triangle is 77 m2 and its height is m, find the length of its base
Maths-General
Maths-
What is the area of a uniform path of width 2m along the outside of a square plot of land of length 20 m?
What is the area of a uniform path of width 2m along the outside of a square plot of land of length 20 m?
Maths-General
Maths-
A triangle has an area of 7.65 square feet. What is the area of the triangle in square inches?
A triangle has an area of 7.65 square feet. What is the area of the triangle in square inches?
Maths-General
Maths-
A rectangular floor of a room is 18 m long 12 m wide.Find the cost of covering the floor with carpet 6 m wide at Rs 40 per metre.
A rectangular floor of a room is 18 m long 12 m wide.Find the cost of covering the floor with carpet 6 m wide at Rs 40 per metre.
Maths-General
