SOLUTION: The length of a rectangle is twice the width. The area is 38 square inches. a. Perimeter is = √48 b. You cannot calculate the perimeter with the given information. c. Pe

Algebra ->  Rectangles -> SOLUTION: The length of a rectangle is twice the width. The area is 38 square inches. a. Perimeter is = √48 b. You cannot calculate the perimeter with the given information. c. Pe      Log On


   



Question 911671: The length of a rectangle is twice the width. The area is 38 square inches.
a. Perimeter is = √48
b. You cannot calculate the perimeter with the given information.
c. Perimeter is ≈ 6.93 inches
d. Perimeter is ≈ 29.4 inches

Found 2 solutions by ewatrrr, MathLover1:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
.
A = Lw
(2w)w - 38in^2
2w^2 = 38
w^2 = 19
w = √19
L = 2√19
P = 6√19

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
The length L of a rectangle is twice the width W.
L=2W ...eq.1
The area is A=38in%5E2.

find the perimeter P:
P=2%28L%2BW%29
A=38in%5E2 and A=L%2AW => 38in%5E2=L%2AW

38in%5E2=L%2AW ..plug in L=2W
38in%5E2=2W%2AW
38in%5E2=2W%5E2
38in%5E2%2F2=W%5E2
19in%5E2=W%5E2
sqrt%2819in%5E2%29=W
4.36in4W
then L=2W => L=2%2A4.36in => L=8.72in

so, P=2%28L%2BW%29
P=2%288.72in%2B4.36in%29
P=2%2813.08in%29
P=26.16in%29

so, option d. Perimeter is ≈ 29.4in is closest one