Question

The area of the rectangle and square are equal find x.

Answer 1

10

Explanation:

Square area = b × h

SA = 6 × 6 = 36

The square's area equals 36.

Rectangle area = b × h

RA = 3 × (x + 2)

36 = 3(x + 2)

36 = 3x + 6

-6 -6

----------------

30 = 3x

---- ----

3 3

10 = x

The answer is 10.

Hope this helped.

Answer 2

10 =x

Explanation:

The area of the square is

A = s^2 where s is the side length

A = 6^2 = 36

The area of the rectangle is

A = l*w

A = 3(x+2) = 3x+6

We know the areas are equal

36 = 3x+6

Subtract 6 from each side

36-6 = 3x+6-6

30 = 3x

Divide by 3

30/3 = 3x/3

10 =x