Question

the width of a rectangle is two third the length . if the perimeter is 150 cm . find the dimensions of the rectangle​

Answer 1

Step-by-step explanation:

Let the length of a rectangle be x cm

and width = 2/3 x

Perimeter = 150 cm

2(l + b) = 150

$2(x + \frac{2x}{3} ) = 150$

$2 \times \frac{5x}{3} = 150$

$\frac{5x}{3} = 75$

$x = \frac{75 \times 3}{5}$

$x = 45 \: cm$

Therefore the length is 45 cm.

and breadth = 2/3 × 45 = 30 cm.

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Answer 2

Answer:

• The Length and the breadth are 75cm  and 50cm respectively

Step-by-step explanation:

Given:-

• the width of a rectangle is two third the length
• The perimeter of the garden is 150cm

To Find:-

• The dimensions of the rectangle

Assumptions:-

• Let the length of the rectangle be x
• Let the breadth of the rectangle be  2/3 x

Formula Used:-

• Perimeter of a rectangle = 2 ( L + B )

Solution:-

✰ According to the question,

$\rightarrow \tt \qquad 2(x + \dfrac{2}{3} x ) = 150$

$\rightarrow \tt \qquad 2( x + \dfrac{2x}{3} ) = 150$

$\rightarrow \tt \qquad 2x + \dfrac{4x}{3} = 150$

$\rightarrow \tt \qquad 2x + 4x = 450$

$\rightarrow \tt \qquad 6x = 450$

$\rightarrow \tt \qquad x = \cancel \dfrac{450}{6}$

$\rightarrow \tt \qquad {\pink{\boxed{\frak{x = 70 }}}\purple\bigstar}$

✰ Now , let's find the dimensions,

${\nrightarrow} \sf \qquad Length \; of \; rectangle= x = 75cm$

${\nrightarrow} \sf \qquad Breadth\; of \; rectangle = \dfrac{2x}{3} = 50cm$

Therefore:-

• The dimensions of the rectangle are 75cm  and 50cm

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