Question

The area of a rectangle is 240m^2 find its length and perimeter if its breadth is 40m

Answer 1

area of rect. =240
l×b=240
l×40=240
l=240/40=6m

perimeter =2 (l+b)
=2 (6+40)=2 (46)
=92m

Answer 2

$\underline{\it\ Question \ 1}$

Given :-

Perimeter of rectangle= 240cm

Length of rectangle 40cm

To Find :-

We have to find the Area of rectangle

Solution:-

Let the breadth of rectangle be x

Now first find the breadth then the area

$\underline{\blue{\sf\ Perimeter\ of\ Rectangle= 2(l+b)}}\\ \\ \\ :\implies\sf\ 240= 2(40+x)\\ \\ \\ :\implies\sf\ \cancel{\dfrac{240}{2}}= 40+x\\ \\ \\ :\implies\sf\ 120=40+x\\ \\ \\ :\implies\sf\ 120-40=x\\ \\ \\ :\implies\sf\ 80=x\\ \\ \\ \therefore{\purple{\sf\ Breadth=80cm}}$

Now Area of rectangle

$\underline{\boxed{\sf\ Area\ of\ Rectangle= \ell \times b}}\\ \\ \\ :\implies\sf\ Area= 80\times 40\\ \\ \\ :\implies\sf\ Area= 3200cm^2$