Question

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.

Answer 1

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

Answer 2

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