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BartSMP [9]
2 years ago
7

What are the dimensions of a rectangle with an area of 72 square centimeters and a perimeter of 36 centimeters?

Mathematics
1 answer:
Masja [62]2 years ago
6 0

Answer:

length=12 cm, width=6 cm

Step-by-step explanation:

lw = 72

w =  \frac{72}{l}

2(l + w) = 36

l + w = 18

l +  \frac{72}{l} = 18

{l}^{2} + 72 = 18l

{l}^{2} - 18l + 72 = 0

(l - 12)(l - 6) = 0

l = 12

w = 6

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