Problema Solution
Find the dimensions of a rectangle whose area is 180 cm2 and whose perimeter is 54 cm. (Enter your answers as a comma-separated list.)
Answer provided by our tutors
Let
x = the length
y = the width
The area is 180 cm^2 means:
xy = 180
The perimeter is 58 cm means:
2(x + y) = 58
x + y = 29
y = 29 - x
Plug y = 29 - x into xy = 180:
x(29 - x) = 180
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click here to see the equation solved for x
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x1 = 9 cm
x2 = 20 cm
For x = 9 cm we find y = 29 - 9 = 20 cm.
For x = 20 cm we find y = 29 - 20 = 9 cm.
The dimensions of the rectangle are 20 cm and 9 cm.