Question

Find the breadth of a rectangular plot of length 45m having perimeter 140m. Find it's area.

Answer 1

Given:

Length of rectangular plot = 45 m

Perimeter = 140 m

Now:

Let the breadth of rectangular plot be 'x'.

We know that:

Perimeter of rectangle = 2 (l + b)

Now:

$\implies$ 140 = 2 (45 + x)

$\implies$ 140 = 90 + 2x

$\implies$ 140 - 90 = 2x

$\implies$ 50 = 2x

$\implies$ x = 25

So: Breadth is 25 m.

We know that:

Area of rectangle = l × b

Now:

$\implies$ 45 × 25

$\implies$ 1125

Therefore:

Area: $\sf{1125\:m^{2}}$