Question
A rectangular lawn 70 m by 50 m has two roads, each 5 m wide, running through its middle, one parallel to its length and the other parallel to its breadth. Find the cost of constructing the roads at Rs 120 per $m ^2$.
✓
Answer
Length of lawn $(1)=70 m$
Breadth (b) $=50 m$
Width of crossing roads $=5 m$
$\text { Area of roads }=70 \times 5+50 \times 5-(5)^2$
$=350+250-(5)^2$
$=600-25=575 m^2$
$\text { Cost of constructing }=\text { Rs. } 120 \text { per } m ^2$
$\text { Total cost Rs. } 120 \times 575=\text { Rs. } 69000$
Breadth (b) $=50 m$
Width of crossing roads $=5 m$
$\text { Area of roads }=70 \times 5+50 \times 5-(5)^2$
$=350+250-(5)^2$
$=600-25=575 m^2$
$\text { Cost of constructing }=\text { Rs. } 120 \text { per } m ^2$
$\text { Total cost Rs. } 120 \times 575=\text { Rs. } 69000$
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f:
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