SOLUTION: The area of a rectangle is 180 square inches. The perimeter is 58 inches. What are the dimensions of the rectangle.
sixth grade student - doesn't know how to solve the problem
Algebra.Com
Question 288983: The area of a rectangle is 180 square inches. The perimeter is 58 inches. What are the dimensions of the rectangle.
sixth grade student - doesn't know how to solve the problem
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
The area of rectangle = 180 cm^2
Perimeter = 58
L*W = 180
L= 180/W
Perimeter = 2L + 2W
Plug the value of L in the formula
2*(180/W) + 2W = 58
360 /W +2W= 58
360 +2W^2 / W = 58
360 +2W^2 = 58W
2W^2 -58W +360 =0
W^2 - 29w +180=0
W^2-20W-9W + 180=0
W(W-20)-9(W-20)=0
(W-9)(W-20)=0
w=9 or 20
If w = 9 L = 20
If W=20 L =9
RELATED QUESTIONS
The perimeter of a rectangle is 20 inches and its area is 24 square inches. What are its... (answered by Fombitz)
the length of a rectangle is 6 more inches than the width. the area of the rectangle is... (answered by stanbon)
The length of a rectangle is 5 inches more than its width. The area of the rectangle is... (answered by amarjeeth123)
The perimeter of a rectangle is 34 inches.If the area is 70 square inches,what are the... (answered by ikleyn)
The area of a rectangle is 116 square inches. What are its possible whole number... (answered by mananth)
a rectangle has an area of 20 square inches and a perimeter of 18 inches, what are the... (answered by BGutridge)
The area of a rectangle is 36 square inches. The perimeter of the rectangle is 36 inches. (answered by Tatiana_Stebko)
A rectangle has a perimeter of 30 inches and it's dimensions are whole numbers what is... (answered by Alan3354)
The area of a rectangle is 36 square inches. The perimeter of the rectangle is 36 inches. (answered by stanbon)