Answer:
Length: 124.7875 cm
Width: 7.2125 cm
Step-by-step explanation:
The perimeter of this area can be calculated as:
P = 2L + 2W
Where P is the perimeter, L is the length and W is the width
If the perimeter is 264 centimeters, we have that:
2L + 2W = 264
L + W = 132
The area can be calculated as:
A = L*W
Where A is the area.
If the area is 900 cm2, we have that:
L*W = 900
From the first equation, we have that L = 132 - W
Using this value in the area equation, we have:
(132-W)*W = 900
132W - W2 = 900
W2 - 132W + 900 = 0
delta = b2 - 4ac = 17424 - 3600 = 13824
sqrt(delta) = 117.575
W1 = (132 + 117.575) / 2 = 124.7875 cm
W2 = (132 - 117.575) / 2 = 7.2125 cm
Using the smaller value for W, the length will be:
L + 7.2125 = 132
L = 124.7875 cm
