Question

A rectangle has a perimeter of 120m and its length is 3 times its breath, determine the dimensions of the rectangle

Answer 1

Given :

• The perimeter of a rectangle is 120 m.
• It's length is 3 times its breath.

To find :

• The dimensions of the rectangle =?

Formula Used :

• Perimeter of the rectangle = 2(length + breadth)

Step-by-step explanation :

Let, the breadth of the rectangle be, x.

Then, the length of the rectangle be, 3x.

As We know that,

Perimeter of the rectangle = 2(length + breadth)

Substituting the values in the above formula, we get,

120 = 2(x + 3x)

120 = 2(4x)

120 = 8x

8x = 120

x = 120/8

x = 15

Therefore, We got the value of, x = 15 .

Hence, the breadth of the rectangle, x = 15 m

The breadth of the rectangle be, 3x = 45 m

Answer 2

$\sf{\underline{\red{\underline{Question:-}}}}$

A rectangle has a perimeter of 120m and its length is 3 times its breath, determine the dimensions of the rectangle.

$\sf{\underline{\red{\underline{Given:-}}}}$

• Perimeter = 120m
• length is 3 times of its breadth.

$\sf{\underline{\red{\underline{To\:Find:-}}}}$

• Dimensions of the rectangle = ?

$\sf{\underline{\red{\underline{Formula:-}}}}$

• perimeter of rectangle = 2(length+breadth)

$\sf{\underline{\red{\underline{Solution:-}}}}$

Let, the Breadth of rectangle be = x

And length of rectangle is 3 times of breadth = 3×x = 3x

$\sf{\underline{\red{\underline{Now,:-}}}}$

using formula of perimeter = 2(l+b)

$\sf→ 120= 2(3x+x)\\\sf→ 120=8x=\\\sf→ x=\frac{120}{8}\\\sf{\fbox{\red{→x=15}}}$

Hence,

• Length of rectangle = 3x=3×15 = 45m
• breadth of rectangle = x= 15