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10. The perimeter of the rectangle to the right is 28 ft. What is the value of x?

10 The Perimeter Of The Rectangle To The Right Is 28 Ft What Is The Value Of X class=

Sagot :

ANSWER

x = 9

EXPLANATION

We have the rectangle with width 3 ft and length (2 + x) ft.

The perimeter of the triangle is 28 ft.

The perimeter of a rectangle is given as:

P = 2(L + W)

where L = length

W = width

Therefore, we have that:

28 = 2[(2 + x) + 3]

28 = 2(2 + x + 3) = 2(x + 5)

28 = 2x + 10

=> 2x = 28 - 10 = 18

Divide through by 2:

2x/2 = 18/2

x = 9

That is the value of x.

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