Question

a) A wire is in the shape of a rectangle. Its length is
70 cm and breadth is 28 cm. If the same wire is
rebent in the shape of a square, what will be the
measure of each side.​

Answer 1

Answer:

Length= 40cm

Breadth= 22cm

Perimeter of the rectangle= Length of the wire

=2(l+b)= 2(40cm + 22cm)

=2\times622×62cm = 124cm

Now, the wire is rebent into a square.

Perimeter= 124cm

4\times side=1244×side=124

Therefore side= \frac{124}{4}

4

124

cm= 31cm

So, the measure of each side= 31cm

Area of rectangular shape= l\times bl×b

=40cm\times22cm40cm×22cm

=880cm^2880cm

2

Area of a square shape= \left(Side\right)^2(Side)

2

=\left(31\right)^2=961cm^2(31)

2

=961cm

2

Since 961cm^2\ >\ 880cm^2961cm

2

> 880cm

2

Hence, the square encloses more area.