Question

A wire is in the shape of a rectangle of length 14cm. Find its breadth if the same wire is re- bent into a square of side 13cm. Also find out their areas and write which one encloses more area, the rectangle or square.

Answer 1

See below.

Explanation:

Area by square = 169

Area by rectangle = 14 x 12 = 168

So more for square hope it helps Alphonsa

Answer 2

Length= 40cm

Breadth= 22cm

Perimeter of the rectangle= Length of the wire

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

=2\times62cm = 124cm

Now, the wire is rebent into a square.

Perimeter= 124cm

4\times side=124

Therefore side= \frac{124}{4}cm= 31cm

So, the measure of each side= 31cm

Area of rectangular shape= l\times b

=40cm\times22cm

=880cm^2

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

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

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

Hence, the square encloses more area.