If the length of a rectangle is three times it’s width and it’s parameter is 24cm what is the area
1 answer:
Answer:
Area = 27 cm²
Step-by-step explanation:
let L be the length of the rectangle
w the width
P the perimeter
A the area
<u>Formulas</u> :
P = 2×(L + w)
A = L × w
<u>We are Given</u> :
L = 3w
P = 2×(L + w)
⇔ 24 = 2×(3w + w)
⇔ 24 = 2×4w
⇔ 24 = 8w
⇔ w = 24/8 = 3
Then
L = 3w = 3×3 = 9
We obtain L = 9 and w = 3.
Then
A = L × w
= 9 × 3
= 27
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