The perimeter of a rectangle is 54 cm. The area of the same rectangle is 176 cm². What are the dimensions of the rectangle?

a. 11 cm by 16 cm
b. 8 cm by 22 cm
c. 5.5 cm by 332 cm
d. 4 cm by 44 cm

Question

The perimeter of a rectangle is 54 cm. The area of the same rectangle is 176 cm². What are the dimensions of the rectangle? 

a. 11 cm by 16 cm
b. 8 cm by 22 cm
c. 5.5 cm by 332 cm
d. 4 cm by 44 cm

anonymous · Answer

11 cm by 16 cm. i think..

anonymous · Answer

2x+2y=54
x*y =176
x(27-x) = 176
-x^2+27x = 176
-(x-13.5)^2+182.25=176
(x-13.5)^2 = 6.25
x-13.5 = ±2.5
x = 16 or 11
y = 176/16 = 11