WORD PROBLEMS ON AREA OF 2D SHAPES WORKSHEET

Problem 1:

What is the area of the figure at the right?

a) 64 cm²       b) 88 cm²         c) 96 cm²        d) 112 cm²

Solution

Problem 2 :

The area of a parallelogram is 24 in², and the height is 6 in. find the length of the corresponding base.

Solution

Problem 3 :

A right isosceles triangle has area 98 cm². Find the length of each leg.

Solution

Problem 4 :

The area of a triangle is 108 in². A base and corresponding height are in the ratio 3 : 2. Find the length of the base and the corresponding height.

Solution

Problem 5 :

a)   Use Heron’s Formula to find the area of his triangle.

b)   Verify your answer to part (a) by using the formula

A = 1/2 bh.

Solution

Problem 6 :

The lengths of the sides of a right triangle are 10 in, 24 in, and 26 in. what is the area of the triangle?

a.116 in²          b.120 in²        c.130 in²       d.156 in²

Solution

Problem 7 :

Find the area of a trapezoid with bases 12 cm and 18 cm and height 10 cm.

Solution

Problem 8 :

Find the area of a trapezoid with bases 2 ft and 3 ft and height 1/3 ft.

Solution

Problem 9 :

What is the approximate area of Nevada?  The area of Nevada is about 110,600 mi².

Solution

Problem 10 :

What is the area of kite KLMN?

Problem 11 :

One base of a trapezoid is twice the other. The height is the average of the two bases. The area is 324 cm². Find the height and the lengths of the bases.

Solution

Answer Key