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Standard VIII

Mathematics

Perimeter of Square and Rectangle

Question 114 ...

Question

Question 114

A 10 m long and 4 m wide rectangular lawn is in front of a house. Along its three sides, a 50 cm wide flower bed is there is shown in the given figure. Find the area of the remaining portion.

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Solution

Given, dimensions of rectangular lawn $= 10 m \times 4 m$ and width of flower bed = 50 cm

Length of remaining portion, $E F = A B - (50 \times 2 c m)$
$= 10 m - 100 c m = 10 m - 1 m = 9 m$ $[∵ 1 c m = \frac{1}{100} m]$
Breadth of remaining portion, EH = AD - 50 cm = 4m - 0.5 m = 3.5
$∴$ Required area = Area of portion $E F G H = E F \times E H = 9 \times 3.5 = 31.5 m^{2}$

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Perimeter of Square and Rectangle

Standard VIII Mathematics

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Question 114 A 10 m long and 4 m wide rectangular lawn is in front of a house. Along its three sides, a 50 cm wide flower bed is there is shown in the given figure. Find the area of the remaining portion.

Given, dimensions of rectangular lawn =10 m×4 m and width of flower bed = 50 cm Length of remaining portion, EF=AB−(50×2cm) =10 m−100 cm=10m−1m=9 m [∵1cm=1100m] Breadth of remaining portion, EH = AD - 50 cm = 4m - 0.5 m = 3.5 ∴ Required area = Area of portion EFGH=EF×EH=9×3.5=31.5 m2

Question 114

A 10 m long and 4 m wide rectangular lawn is in front of a house. Along its three sides, a 50 cm wide flower bed is there is shown in the given figure. Find the area of the remaining portion.