1

Problem

The area of a square is 98 square feets. The area is reduced by half. Find the length of the side after the reduced area.

2

Step

Given that the original area of the square is(A)

98 sq.ft

3

Step

To find the new area, divide the original area in half.

Area_new = \$(Orignal_Area) / 2 = 98/2\$
Area_new = 49

4

Step

We have determined the new length of the side using the formula for the area of a square.

\$Area = s^2\$
49 = \$s^2\$

5

Step

Apply square root on both sides of the equation

\$\sqrt(49) = \sqrt(s^2)\$

6

Step

After cancellation

s = 7

7

Solution

So, after the area is reduced by half, the length of each side(s) of the square is 7 feet.

8

Sumup

Please summarize steps

Choices

9

Choice-A

The option doesn’t align with the correct answer, making it an incorrect choice for the square’s side length

Wrong 5 feet

10

Choice-B

The correct answer for the length of each side of the square is determined by matching the given option

Correct 7 feet

11

Choice-C

The option doesn’t align with the correct answer, making it an incorrect choice for the square’s side length

Wrong 11 feet

12

Choice-D

The option doesn’t align with the correct answer, making it an incorrect choice for the square’s side length

Wrong 10 feet

13

Answer

Option

B

14

Sumup

Please summarize choices