SOLUTION: the perimeter of a rectangle is 56 inches. the width of the rectangle is 14 inches less than the length of the rectangle. find the dimensions of the rectangle. How do i solve this
Algebra.Com
Question 956391: the perimeter of a rectangle is 56 inches. the width of the rectangle is 14 inches less than the length of the rectangle. find the dimensions of the rectangle. How do i solve this by steps?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
L=length; W=width=L-14in; P=perimeter=56 inches
P=2(L+W) Substitute for W
56 inches=2(L+L-14in) Divide each side by 2.
28 inches=2L-14 inches Add 14 inches to each side.
42 inches=2L Divide each side by 2.
21 inches=L ANSWER 1: The length is 21 inches.
W=L-14 inches=21 inches-14 inches=7 inches ANSWER 2: The width is 7 inches.
CHECK:
P=2(L+W)
56 inches=2(21 inches+7inches)
56 inches=2(28 inches)
56 inches=56 inches
RELATED QUESTIONS
The length of a rectangle is 4 less than 3 times the width. If the
perimeter is 56... (answered by waynest)
The length of a rectangle is 3 inches less than twice the width. If the perimeter of the... (answered by ewatrrr)
The length of a rectangle is 3 inches less than twice the width. If the perimeter of the... (answered by Nigelyul)
The length of a rectangle is 3 inches less than twice the width. The perimeter of the
(answered by tutor_paul)
The perimeter of a rectangle is 104 inches. The length exceeds the width by 14 inches.
(answered by tm.hodgson)
If the perimeter of a rectangle is 104 inches and the length of the rectangle is 6 inches (answered by mananth)
the length of a rectangle is 4 inches more than the width. if the perimeter is 56 inches... (answered by jorel1380)
the width of a rectangle is 10 inches less than its length. If the perimeter of the... (answered by josgarithmetic)
the width of a rectangle is 4 inches less than than its length. The perimeter is 112... (answered by mangeshpjoshi)