## The breadth of a rectangle is two third of its length if the perimeter is 30 m find the length and the breadth of a rectangle

Question

The breadth of a rectangle is two third of its length if the perimeter is 30 m find the length and the breadth of a rectangle

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1 week 2021-11-22T00:29:58+00:00 2 Answers 0 views 0

Let the length of the rectangle be “L”.

Given:

Breadth of the rectangle = two – third of length.

And it’s Perimeter = 30 m

We know that,

Perimeter of a rectangle = 2(Length + Breadth) Hence, the dimensions of the rectangle are 9 m and 6 m.

2. Length = 9 m

Step-by-step explanation:

Given:

• Breadth of rectangle is two third of its length.
• Perimeter of the rectangle is 30 m.

To Find:

• What is the measure of length & breadth of rectangle ?

Solution: Let the length of rectangle be L m.

∴ Breadth = 2/3 of Length

Breadth = 2/3 L

As we know that –

Perimeter of rectangle = 2 ( Length + Breadth )

But, A/q

• Perimeter = 30 m. 30 = 2 ( Length + Breadth ) 30 = 2 ( L + 2L/3 ) {Take LCM } 30 = 2 ( 3L + 2L/3 ) 30 = 2 5L/3 30 = 10L/3 30 3 = 10L 90 = 10L 90/10 = L 9 m = L

Hence, the Length of rectangle is L = 9 m.

∴ Breadth of rectangle = 2L/3

➟ 2 9/3

➟ 18/3 = 6 m.

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★ Verification ★

30 m = 2 ( L + B ) m

30 m = 2 ( 9 + 6 ) m

30 m = 2 (15) m

30 m = 30 m

[ Verified ]