how many handkerchiefs of size 40 cm x 25 cm can be made out of a 8 m x 4 m cloth?
Answers
Given,
Dimensions of the master cloth:
Length, L = 8 metres
Breadth, B = 4 metres
Dimensions of each handkerchief:
Length, l = 40 centimetres
Breadth, b = 25 centimetres
To find,
Total handkerchiefs that can be made from the master cloth.
Solution,
We can simply solve this mathematical problem by using the basic formula of mensuration, as follows:
Area of each handkerchief
= Area (handkerchief)
= l x b (Since the area of any rectangle is the product of its length and breadth)
= 40 cm x 25 cm
= 1000 square centimetres
Area of the master cloth
= Area (master cloth)
= L x B (Since the area of any rectangle is the product of its length and breadth)
= 8 m x 4 m
= 800 cm x 400 cm
( since 1 metre = 100 centimetres )
= 320000 square centimetres
Total handkerchiefs that can be made from the master cloth is = Area (master cloth) ÷ Area (handkerchief)
= (320000 ÷ 1000) handkerchiefs
= 320 handkerchiefs
Hence, total 320 handkerchiefs can be made from the master cloth.