The rectangle has a perimeter of 120 cm and is 14 cm longer than wide, so find its width.
| August 27, 2021 | education
It is necessary to calculate the value of the width of the rectangle (we denote it by the letter W) if it is known that the perimeter of the rectangle is P = 120 cm, and the length L> W is 14 cm.
Let’s compose the equations and solve them.
1) P = 2 * (L + W).
2) L = W + 12.
Substitute the value of D from the second equation into the first and simplify.
P = 2 * (W + 12 + W).
P = 4W + 24.
W = (P – 24) / 4.
Substitute the value of P and calculate.
W = (120 – 24) / 4.
W = 96/4.
W = 24.
As a result, we have a rectangle width equal to 24 cm.
Answer: the width of the rectangle is 24 cm.
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