Question

the width of a rectangle is three-fourths its length. if the perimeter is 210 m, find the dimensions of the rectangle.

Answer 1

here is your answer!!!

Answer 2

Answer:

Length = 60 m

Breadth = 45 m

Step-by-step explanation:

We have given that width of rectangle is three-fourths of its length.

If the perimeter is 210 m.

We need to find the dimensions of the rectangle.

According to the question,

Length of the rectangle be x

Therefore width = $\frac{3}{4}th\ of\ x$

Width = $\mathnf{\frac{3x}{4}}$

Perimeter of the rectangle is given by 2( length + breadth)

Now,

210 = 2(x + $\frac{3x}{4}$)

210 = 2($\frac{7x}{4})$

420 = 7x

Therefore, x = 60

Therefor length of the rectangle is 60 m

Breadth of the rectangle = $\frac{3}{4}\times 60$

Breadth = 45 m