﻿ Geometry Problems Worksheet | Problems & Solutions

# Geometry Problems Worksheet

Geometry Problems Worksheet
• Page 1
1.
Which of the given equations will give the area(A) of the rectangle, if the length = 12 cm and width = 5 cm?
 a. A = 12 + 5 b. A = 12 × 6 c. A = 12 × 5 d. A = 12 ÷ 5

#### Solution:

A = L × W
[Formula for area(A) of a rectangle with length(L) and width(W).]

A = 12 × 5
[Substitute the values.]

So, the equation 'A = 12 × 5' gives the area of a rectangle.

2.
Which of the given equations represents the area (A) of the rectangle?

 a. A = 2(3 + 5) b. A - 3 = 5 c. A = 3 × 5 d. A = 3 × 4

#### Solution:

A = L × W
[Area of the rectangle with length(L) and width(W).]

From the figure, length(L) = 5 and width(W) = 3.

So, A = 3 × 5 gives the area of the rectangle.

3.
The side length of a square is 16 cm. Which of the given equations is used to find the perimeter(P)?
 a. P = 4 × 3 cm b. P = (16 - 4) cm c. P = 162 cm d. P = 4 × 16 cm

#### Solution:

Perimeter(P) of a square with side(a) is 4 × a.

Side of a square is 16 cm.

So, Perimeter(P) = 4 × 16 cm.

4.
The side of a square is 8 inches. Which equation gives the area(A) of the square?
 a. A = 8 + 8 b. A = 4 × 8 c. A = 8 × 8 d. A = 2 × 8

#### Solution:

Area(A) of a square with side length a is a × a.

So, 'A = 8 × 8' gives the area of the square.
[Substitute a = 8.]

5.
The area(A) of a rectangle is 12 square inches and length of the rectangle is 3 inches. What is the width(W) of the rectangle?
 a. W = 12 ÷ 3 b. W = 12 × 3 c. W = 12 + 5 d. W = 3 × A

#### Solution:

A = L × W
[Area of a rectangle with length(L) and width(W).]

12 = 3 × W
[Substitute the values.]

So, width of the rectangle is given by 'W = 12 ÷ 3'.

6.
Identify the that represents the area (A) of the rectangle ABCD.

 a. A = 6 × 3 b. 3 = A + 6 c. A = 2(6) + 2(3) d. A - 2 = 6 + 3

7.
The side of a square is 8 inches. Which equation gives the perimeter (P) of the square?
 a. A = 4(8) b. A = 8 + 8 c. A = (8)(8) d. A = 2(8)

8.
If length of a rectangle is 2 inches and its width is 3 inches, then what does the equation 2 × 3 = 6 represent?
 a. width b. length c. area d. perimeter

9.
Which of the given equations represents the area (A) of the square?

 a. A = 2(3) b. A = 4(3) c. A = 3 × 3 d. A = 3 + 3 + 3