# The rectangle

Determine the area of the rectangle where the length and width are in the ratio 5:2 and its length is 7.5 cm longer than its width. Determine also its length and its width.

Result

a =  12.5 cm
b =  5 cm
S =  62.5 cm2

#### Solution:

2a=5b
a = 7.5 + b

2a-5b = 0
a-b = 7.5

a = 252 = 12.5
b = 5

Calculated by our linear equations calculator.
$S=a \cdot \ b=12.5 \cdot \ 5=\dfrac{ 125 }{ 2 }=62.5 \ \text{cm}^2$

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