What is the area of a parallelogram with coordinated ,

Identify the equation of a line perpendicular to the line x/2 + y = -1

If the area of an equilateral triangle is 16 cm² find the length of the side of the triangle.

Find the equation of a line which passes through (1, 2) and is perpendicular to the line with an equation y = x – 1.

A Cylinder tank has a diameter 75 cm and height 1.8 m, Find the capacity in litres to three significant figures.

Identify the line having y-intercept =

Find the perimeter and height of an equilateral triangle whose area is equal to 60cm²

A ground in a shape of a parallelogram needs to be fenced by a wire. The one side of the parallelogram is 8 inches and the area of ground is 120 sq. inches respectively.
Find the minimum length of wire needed for the work.

Identify the line having slope 2.

Find equation of a line parallel to line with an equation y = 5x + 1 and passing through (1, 10).

In the figure given below, find the area of:
(i) the shaded portion and (ii) the unshaded portion.

The shape of the top surface of a table is a trapezium. Find its area if its parallel sides are 1m and 1.2m and perpendicular distance between them is 0.8m .

The figure above is the floor plan drawn by an architect for a small concert hall. The stage has depth 8 meters (m) and two walls each of
length 10 m. If the seating portion of the hall has an area of 180 square meters, what is the value of x ?

Note:
There are different concepts used to solve this problem. Another concept used which is not mentioned in the hint is that the perpendicular drawn from the vertex of an isosceles triangle to the
base cuts the base in half. This property is also applicable in equilateral triangles as they are a special case of isosceles triangle.

The area of a trapezium is 34cm² and the length of one of the parallel sides is 10cm and its height is 4cm. Find the length of the other parallel side.

In the figure, ABCD is a rectangle and PQRS is a square. Find the area of the shaded portion.

A cylinder is surmounted by cone at one end, a hemisphere at the other end. The common radius is 3.5 cm, the height of cylinder is 6.5 cm, and the total height of structure is 12.8 cm. Find the volume of the structure.