The perimeter of a rectangle is 44 inches, and its area is 105 square inches. find the length and width of the rectangle.

Question

02-09-2017
Mathematics

contestada

The perimeter of a rectangle is 44 inches, and its area is 105 square inches. find the length and width of the rectangle.

Respuesta :

Otras preguntas

what is a high structure part of a church which has 5 letters

you have a standard deck of 52 cards. you pick one card and then, with out putting the first card back, you pick a second card. what is the probability that bot

What is the amplitude of y=1/2 sin2x

Simplify the expressions: cot 0 sec 0 A. Sin0 B. Csc0 C. Cos0 D. Cos* 0

what is a high structure part of a church which has 5 letters

What is the least common denominator for 5/6 and 3/8. 3/4 and 6/7

What are the functions of receptors in our body? Think of a situation where receptors do not work properly. What problems are likely to arise?

What is the least common denominator for 5/6 and 3/8. 3/4 and 6/7

what is a high structure part of a church which has 5 letters

APAgony APAgony · Answer 1 · 2017-09-02T15:02:51+02:00

APAgony APAgony

02-09-2017

Perimeter = (Length + Width)x2
Area = LengthxWidth

P=(L+W)x2
P/2=L+W
L=P/2 - W

Area=(P/2 - W)(W)
A=WP/2-W^2
105=W(44)/2 - W^2
105=22W - W^2
W^2-22W+105=0
(W-7)(W-15)=0
Width= 7 or 15

A=LxW
105=Lx7
105/7=L
L=15

Length is 15 inches, Width is 7 inches.

Answer Link