Question

The perimeter of a rectangle is 75 cm. Its length is two three upon four times its breath find the length and breath of the rectangle​

Answer 1

Answer:

The length of the rectangle is 55/2 cm and the breadth is 10cm.

Step-by-step explanation:

Let the length of the rectangle be 'L'

and the breadth of the rectangle be 'B'

We know that Perimeter of a rectangle is = 2(L+B)

According to the question, L = 2$\frac{3}{4}$*B

Given that  Perimeter of a rectangle is = 75cm

=>2(L+B) = 75

=> 2L + 2B =75

Substituting the value of L from above, we get

2*(11/4)*B + 2B = 75

=> 11B/2 + 2B = 75

=> 11B + 4B = 150

=> 15B = 150

=> B = 10

Since, L = 2$\frac{3}{4}$*B

=> L = 11/4 * 10

=> L = 55/2

Therefore, the length of the rectangle is 55/2 cm and the breadth is 10cm.

Answer 2

Answer:

Length = 27.5 cm

Breadth = 10 cm

Step-by-step explanation:

The perimeter of Rectangle is = 2× ( length + breadth)

Here perimeter is 75 cm (Given)

Let us assume that breadth of the rectangle is "b"

According to the questions, Length is two three upon four times its breadth

So,

$2 \frac{3}{4} b = \frac{11}{4} b$

Now,

The perimeter of the rectangle is

$2( \frac{11}{4} b + b) = 75 \\ 2( \frac{15}{4} b) = \frac{15}{2} b = 75 \\ now \\ b = \frac{75 \times 2}{15} = \frac{150}{15 } = 10 \: cm$

$2( \frac{11}{4} b + b) = 75 \\ 2( \frac{15}{4} b) = \frac{15}{2} b = 75 \\ now \\ b = \frac{75 \times 2}{15} = \frac{150}{15 } = 10 \: cm$

Now, We've obtained breadth, So length will be

$l = 2 \frac{3}{4} breadth \\ l = \frac{11}{4} \times 10 = \frac{110}{4} = 27.5 \: cm$

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