Question

The area of the rec. Is 1936 sq.m. if the length of the rec. Is 4 times its breath , find the dimensions of the rec.

Answer 1

Answer: 22m × 88m

Step-by-step explanation:

let the breadth be =x so the length of the rectangle=4x

area of the rectangle =l×b

4x × x=1936

x²=484

x=22 m

Answer 2

Question :

The area of the rectangle is 1936 m², if the length of the rectangle is 4 times its breath , find the dimensions of the rectangle.

Solution :

• Area = 1936 m²
• Length is four times Breadth

A.T.Q,

We will find area of rectangle by using formula for Area of rectangle, after that we can calculate dimensions.

Let, breadth be x m and breadth be y m

So, length will be 4x m.

• Breadth = x
• length (y) = 4x

$\underbrace{\sf{Area \: of \: Rectangle}}$

$\implies \sf{Area \: = \: length \: \times \: Breadth} \\ \\ \implies \sf{1936 \: = \: x \: \times \: 4x} \\ \\ \implies \sf{4x^2 \: = \: 1936} \\ \\ \implies \sf{x^2 \: = \: \dfrac{1936}{4}} \\ \\ \implies \sf{x^2 \: = \: 484} \\ \\ \implies \sf{x \: = \: \sqrt{484}} \\ \\ \implies \sf{x \: = \: \pm \: 22}$

As we know that length can never be negative. So, breadth of the rectangle is 22 m

Now,

$\implies \sf{length \: = \: 4x} \\ \\ \implies \sf{y \: = \: 4(22)} \\ \\ \implies \sf{y \: = \: 88}$

$\therefore$ Length of Rectangle is 88 m and breadth of rectangle is 22 m