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Mensuration — MATHS STD 7 — Question

Gujarat BoardEnglish MediumSTD 7MATHSMensuration3 Marks
Question
A rectangular field is $50m$ by $40m$. It has two roads through its centre, running parallel to its sides. The width of the longer and the shorter roads are $2m$ and $2.5-m$-respectively. Find the area of the roads and the area of the remaining portion of the field.
✓

Answer

Length of field $(l) = 50m$ and breadth $(b) = 40m$

Width of road parallel to length $=2 \mathrm{~m}$
and width of road parallel to breadth $=2.5 \mathrm{~m}$
Area of roads $=50 \times 2+40 \times 2.5-2.5 \times 2=(100+100-5) \mathrm{m}^2=195 \mathrm{~m}^2$
and area of remaining portion $=50 \times 40-195=2000-195=1805 \mathrm{~m}^2$

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