The length of a rectangle is 4 inches more than its width, and its perimeter is 34 inches. Find the length and width of the rectangle.
Find the width of the rectangle.
7.5 in.
6.5 in.
6 in.
2 answers
Try 7.5in
Make sure you write the question correct because:
the length of a rectangle is 4 inches more than its width means:
L = W + 4
Perimeter:
P = 4 W + 4 L = 34
Replace L = W + 4 in this equation
4 W + 4 ( W + 4 ) = 34
4 W + 4 W + 16 = 34
8 W + 16 = 34
Subtract 16 to both sides
8 W = 18
Divide both sides by 8
W = 18 / 8 = 2 ∙ 9 / 2 ∙ 4 = 9 / 4 = 2.25 in
L = W + 4 = 2.25 + 4 = 6.25 in
the length of a rectangle is 4 inches more than its width means:
L = W + 4
Perimeter:
P = 4 W + 4 L = 34
Replace L = W + 4 in this equation
4 W + 4 ( W + 4 ) = 34
4 W + 4 W + 16 = 34
8 W + 16 = 34
Subtract 16 to both sides
8 W = 18
Divide both sides by 8
W = 18 / 8 = 2 ∙ 9 / 2 ∙ 4 = 9 / 4 = 2.25 in
L = W + 4 = 2.25 + 4 = 6.25 in
1 answer