Question

The length of a rectangle is 3 inches more than its width. The perimeter of the rectangle is 34 inches. The length of the rectangle is inches, and its width is inches.

Answer 1

Answer: Width= 7 in.

               Length= 10 in.

Step-by-step explanation:

$l=w+3$

The perimeter of the rectangle is 34 inches.

$2(w+l)=34$

substitute

$2(w+w+3)=34$

$2(2w+3)=34$

distributive property $a(b+c)=ab+ac$

$2\cdot 2w+2\cdot 3=34$

$4w+6=34$

$4w+6-6=34-6$

$4w=28$

divide 4 on both sides

$w=7$

Width is 7 inches

substitute w=7 in equation $l=w+3$

$l=7+3$

$l=10$

Length is 10 inches