Question

the perimeter of a rectangle is 8(2x+1) inches THE length of the sides of a rectangle are 3x+4 inches and 4x + 3 inches write and solve an equation to find the length of each side​

Answer 1

• 13 inches
• 15 inches

Explanation:

The perimeter is given by the formula ...

P = 2(L +W) . . . where L and W are the length of the sides of the rectangle

Filling in the given values, we have ...

8(2x +1) = 2((3x +4) +(4x +3))

4(2x +1) = 7x +7 . . . . . . . . . . . . divide by 2, collect terms on the right

8x +4 = 7x +7 . . . . . . eliminate parentheses

x = 3 . . . . . . . . . . . . . subtract 7x+4

The side lengths are ...

(3x +4) = 3(3) +4 = 13

(4x +3) = 4(3) +3 = 15

The lengths of the sides are 13 inches and 15 inches.

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Check

The perimeter is 8(2(3) +1) = 56 = 2(13 +15).