Question

The perimeter of a rectangle is 82 inches. The length of the rectangle is 4x - 5 and tis width by 3x + 4. What are the dimensions of this rectangle in inches?

A. length = 35 in ; width = 31 in
B. length = 35 in ; width = 30 in
C. length = 19 in ; width = 22 in
D. length = 18 in ; width = 20 in​

Answer 1

C=length = 19in ; width = 22in

SOLUTION

`per = 2(l + w)`

per = 2{(4x-5) + (3x+4)}

=8x-10+6x+8=82

= 14x-2= 82

✓ 14x = 84

✓ x = 6

3x+4 = 3(6)+4

= 18+4

width = 22

4x-5= 4(6)-5

= 24-5

length= 19