MATH SOLVE

4 months ago

Q:
# The length of a rectangle is 5 inches less than 3 times the width. The perimeter is 70 inches. Find the length and the width. The length is __ inches and the width is __ inches.

Accepted Solution

A:

Answer:Length of the Rectangle = 10 inchesand Width = 25 inchesStep-by-step explanation:Let the width of the rectangle = k inchesSo, the Length of the rectangle = (3k - 5) inchesPerimeter = 70 inchesNow, Perimeter of the Rectangle = 2(Length + Width)= 2 (k + (3k-5)) ⇒ 2 (k + (3k-5)) = 70or, 2(k + 3k -5) = 70 ⇒ 2(4k - 5) = 70⇒ 8k - 10 = 70 or, 8k = 70+ 10 = 80or, k = 80/8 = 10So, the Length = 10 inchesHence, Width = 3k - 5 = 3(10) - 5 = 30 - 5 = 25 inchesSo, Length of the Rectangle = 10 inches and Width = 25 inches