Question

the width of rectangular stadium is 1/2 of its length if the area of a stadium is 1800sq m what is the difference between its length and breadth

Answer 1

Answer:

the answer is 30m

Step-by-step explanation:

Let the length of the rectangular stadium be x

Now according to the question,

width of the rectangular stadium is

$width= \frac{1}{2} x$

Now the area of rectangular stadium is given as 1800 sq m.

Applying the formula of area of rectangle and putting on the value of length and width and thus calculating the value of x.

$Area \: of \: rectangle= length × width \\ 1800 = x \times \frac{1}{2} x \\ 1800 = \frac{1}{2} {x}^{2} \\ 1800 \times 2 = {x}^{2} \\ 3600 = {x}^{2} \\ \sqrt{3600} = x \\ x = 60m$

therefore, the length of the stadium is 60m.

$width \: of \: the \: stadium = \frac{1}{2} x \\ = \frac{1}{2} \times 60 = 30m$

The difference between length and width is

length - width = 60 - 30

= 30m