Maths-
General
Easy
Question
A rectangular park is 6𝑥 + 2 𝑓𝑡 long and 3𝑥 + 7 𝑓𝑡 wide. In the middle of the park is a square turtle pond that is 8 𝑓𝑡 wide. What expression represents the area of the park not occupied by the turtle pond?
Hint:
- Area of rectangle is given by product of length and breadth.
- Area of rectangle = length × breadth.
- Area of rectangle = l × b.
The correct answer is: Hence, expression that represent the area of the park not occupied by the turtle pond is 18x2 + 48x - 50.
Answer:
- Step by step explanation:
- Given:
Length of park = 6x + 2 units.
Width of outer rectangle = 3x + 7 units.
- Step by step explanation:
- Given:
Length of park = 6x + 2 units.
Width of outer rectangle = 3x + 7 units.
Side of pond = x units.
- Find area of park.
Area of rectangle = l × b,
So,
Area of park = (6x + 2) × (3x + 7)
Area of park = 6x × (3x + 7) + 2 (3x + 7)
Area of park = 18x2 + 42x + 6x + 14
Area of park = 18x2 + 48x + 14
- Step 2:
- Find area of pond.
Area of pond = (a)2
So,
Area of pond = (8)2
Area of pond = 64
- Step 3:
- Find area of park not occupied by pond:
Area of park not occupied by pond = area of park – area of pond
Area of park not occupied by pond = (18x2 + 48x + 14) – (64)
Area of park not occupied by pond = 18x2 + 48x + 14 – 64
Area of park not occupied by pond = 18x2 + 48x – 50
- Final Answer:
Hence, expression that represent the area of the park not occupied by the turtle pond is 18x2 + 48x - 50.
- Given:
- Given:
Related Questions to study
Maths-
Graph the line with equation
Graph the line with equation
Maths-General
Maths-
A builder buys 8.2 square feet of sheet metal. She used 2.1 square feet so far and
has R s 183 worth of sheet metal remaining. Write and solve an equation to find out
How much sheet metal costs per square foot ?
A builder buys 8.2 square feet of sheet metal. She used 2.1 square feet so far and
has R s 183 worth of sheet metal remaining. Write and solve an equation to find out
How much sheet metal costs per square foot ?
Maths-General
Maths-
Find distributive property to find the product.
(3𝑥 − 4) (2𝑥 + 5)
Find distributive property to find the product.
(3𝑥 − 4) (2𝑥 + 5)
Maths-General
Maths-
Find the value of 𝑚 to make a true statement. 𝑚𝑥2 − 36 = (3𝑥 + 6)(3𝑥 − 6)
Find the value of 𝑚 to make a true statement. 𝑚𝑥2 − 36 = (3𝑥 + 6)(3𝑥 − 6)
Maths-General
Maths-
Graph the equation
Graph the equation
Maths-General
Maths-
What is the relationship between the sign of the binomial and the sign of the second term in the product?
What is the relationship between the sign of the binomial and the sign of the second term in the product?
Maths-General
Maths-
Find the product. (2𝑥 − 1)2
This question can be easily solved by using the formula
(a - b)2 = a2 - 2ab + b2
Find the product. (2𝑥 − 1)2
Maths-General
This question can be easily solved by using the formula
(a - b)2 = a2 - 2ab + b2
Maths-
The coefficient of 𝑥 in the product (𝑥 − 3) (𝑥 − 5) is
The coefficient of 𝑥 in the product (𝑥 − 3) (𝑥 − 5) is
Maths-General
Maths-
Find the product. (𝑥 + 9)(𝑥 + 9)
This question can be easily solved by using the formula
(a + b)2 = a2 + 2ab + b2
Find the product. (𝑥 + 9)(𝑥 + 9)
Maths-General
This question can be easily solved by using the formula
(a + b)2 = a2 + 2ab + b2
Maths-
Geeta spends 803.94 to buy a necklace and bracelet set for each of her friends. Each
necklace costs Rs 7.99 and each bracelet cost 5.89, how many necklace and bracelet
What sets did she buy?
Geeta spends 803.94 to buy a necklace and bracelet set for each of her friends. Each
necklace costs Rs 7.99 and each bracelet cost 5.89, how many necklace and bracelet
What sets did she buy?
Maths-General
Maths-
Use either the square of a binomial or difference of squares to find the area of the square.
Use either the square of a binomial or difference of squares to find the area of the square.
Maths-General
Maths-
Use a table to find the product.
(2𝑥 + 1) (4𝑥 + 1)
Use a table to find the product.
(2𝑥 + 1) (4𝑥 + 1)
Maths-General
Maths-
Graph the equation on a coordinate plane.
Graph the equation on a coordinate plane.
Maths-General
Maths-
Use a table to find the product.
(𝑥 − 6) (3𝑥 + 4)
Use a table to find the product.
(𝑥 − 6) (3𝑥 + 4)
Maths-General
Maths-
Why the product of two binomials (𝑎 + 𝑏) and (𝑎 − 𝑏) is a binomial instead of a trinomial?
Why the product of two binomials (𝑎 + 𝑏) and (𝑎 − 𝑏) is a binomial instead of a trinomial?
Maths-General