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Chapter 2: Q2. (page 148)

Read each question. Then fill in the correct answer on the answer document provided by your teacher or on a sheet of paper.

Find the value of x so that the figures have the same area.

F 10 H13

G 12 J15

Short Answer

Expert verified

The value ofx is 15.

Step by step solution

01

Step 1. Given information.

Both figures have the same area.

02

Step 2. To find equation by the both figures have same area.

The area of the rectangle is: (x-6)脳25

The area of the square is: 15脳x

Because both areas are same

So,(x-6)脳25=15脳x

03

Step 3. To find the value of x

(x-6)脳25=15脳x鈬�25x-150=15x鈬�25x-15x=150鈬�10x=150鈬�x=15

Therefore, the value ofx is 15.

Hence, the correct option is (F).

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