Question

A bedsheet measure 30m by 20m. A strip of 4m width is cut from it all around. Find the area of the remaining bedsheet and also the area of the strip cut out

Answer 1

Given -

• Length of bedsheet = 30m

• Breadth of bedsheet = 20m

• Measure of strip = 4m

To find -

• Area of remaining bedsheet and strip.

Solution -

Area of bedsheet = L × B

where,

L = Length

B = Breadth

On substituting the values -

Area of bedsheet = L × B

Area of bedsheet = 20m × 20m

$\longmapsto$ Area of bedsheet = 600m²

Now,

As 4m strip is being cut the length and Breadth will be decreased by 8 units, as 2 units from length and 2 units from Breadth.

So,

New length = length - (4 × 2)

New length = 30m - (4 × 2)

New length = 30m - 8

$\longmapsto$ New length = 22m

Similarly,

New breadth = Breadth - (4 × 2)

New Breadth = 20m - (4 × 2)

New breadth = 20m - 8

$\longmapsto$ New Breadth = 12m

Now,

Area of remaining bedsheet = new length × New Breadth

On substituting the values -

Area = L × B

Area = 22m × 12m

$\longmapsto$ Area = 264m²

At the end -

Area of strip = Area of bedsheet - Area of remaining bedsheet

On substituting the values -

Area of strip = 600m - 264m

$\longmapsto$ Area of strip = 336m

$\therefore$ Area of bedsheet is 600m, Area of remaining bedsheet is 264m and area if strip is 336m

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