Question

The width of a rectangle is two thirds it's length.if the perimeter is 180 m.find the dimensions of the rectangle.​

Answer 1

Answer:

Buzzshivam

03.05.2018

Math

Secondary School

+5 pts

Answered

The width of a rectangle is two - thirds its length . if the perimeter is 180 m find its dimensions

2

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Answers

Brainly User

Heya ✋

Let see your answer !!!

Let the length of a rectangle be (x)m. Then,

width of a rectangle = (2x/3)m.

Perimeter = 180m

Perimeter of a rectangle = 2(l + b)

=> 180 = 2(x + 2x/3)

Step-by-step explanation:

=> 180/2 = (3x + 2x/3)

=> 90 = 5x/3

=> x = 90 × 3/5

=> x = 54

Hence , the length = 54m

and width = (2 × 54/3)m

= 36m

Answer 2

Answer:

Given:

• The width of a rectangle is two thirds it's length.if the perimeter is 180 m.

Find:

• Find the dimensions of the rectangle.

Using formula:

☆ ${\sf{\underline{\boxed{\red{\sf{2 \: (L + B) }}}}}}$

Calculations:

• Let us x as length and 2x/3 be the width.

⇒ $\bold{180 = 2 \: x + (\dfrac{2x}{3})}$

⇒ $\bold{180 = \dfrac{3x + 2x}{3}}$

⇒ $\bold{90 = \dfrac{5x}{3}}$

⇒ $\bold{x = 90 \times \dfrac{3}{5}}$

⇒ ${\sf{\underline{\boxed{\red{\sf{x = 54}}}}}}$

Therefore, 54 is the length.

Finding the width:

⇒ $\bold{2 \times \dfrac{54}{3}}$

⇒ ${\sf{\underline{\boxed{\red{\sf{36 \: m}}}}}}$

Therefore, 36 m is the width.