Length and breadth of a rectangular wire are 10 cm and 8cm respectively. If the wire is bent into a square, find the length of its sides.
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Length and breadth of a rectangular wire are 10 cm and 8cm respectively. If the wire is bent into a square, find the length of its sides.
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Answer:
9cm each.
Step-by-step explanation:
NB: the rectangle has four sides so the numbers have to be doubled.
Total length of rectangle=10+10=20
Total breadth of rectangle=8+8=16
To get the answer the measurements have to be added.
20+16=36
So since a square has four sides the 36 has to be divided by four.
36÷4=9
∴ the length of the sides of the square are 9cm each
length of rectangle =10cm
breadth of rectangle=7cm
according to question
perimeter of rectangle=perimeter of square
2(l+b)=4a
l+b=2a
(10+7)/2=a
(17)/2=a
a=8.5cm
therefore,
length of sides of square is 8.5cm