SOLUTION: The length of a rectangle is 4 cm longer than the with. If the perimeter is 16 cm, find the width And length of the rectangle
Algebra.Com
Question 800664: The length of a rectangle is 4 cm longer than the with. If the perimeter is 16 cm, find the width And length of the rectangle
Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
Perimeter of a rectangle
= 2(width) + 2(length)
w = width
w + 4 = length {length is 4 longer than width}
2w + 2(w + 4) = 16 {substituted into perimeter formula}
2w + 2w + 8 = 16 {used distributive property}
4w + 8 = 16 {combined like terms}
4w = 8 {subtracted 8 from each side}
w = 2 {divided each side by 4}
w + 4 = 6 {substituted 2, in for w, into w + 4}
width = 2 cm
length = 6 cm
For more help from me, visit: www.algebrahouse.com
RELATED QUESTIONS
The length of a rectangle is 2 cm longer than its width. If the perimeter of the... (answered by ikleyn)
The length of a rectangle is 5 cm longer than the width. The perimeter of the rectangle... (answered by JulietG,josgarithmetic)
The length of a rectangle is 4 cm longer than its width.
If the perimeter of the... (answered by jorel1380)
The length of a rectangle is 4 cm longer than its width. If the perimeter of the... (answered by TimothyLamb)
The lenghth of a rectangle is 3.5 cm longer than its width. The perimeter of the... (answered by waynest)
The length of a rectangle is 8 cm more than two times the width. If the perimeter of the... (answered by ewatrrr)
if the length of a rectangle is 4 cm longer than its width. The perimeter of the... (answered by josgarithmetic)
the perimeter of a rectangle is 82 cm. The length is 6 cm longer than the width. Find... (answered by Cromlix)
The length of a rectangle is 4 cm longer than the width. If the perimeter is 20 cm, what... (answered by checkley77)