Question

The area of an aerobics floor is 3,200 square meters. What is the area if the length and width are doubled?

a.6400

b.9600

c.12,800

d.25,600

Answer 1

The area of an aerobics floor if the length and width are doubled = 12800

Explanation:

Given -

The area of an aerobics floor is 3,200 square meters.

Let x and y be the lenth and width of aerobics floor

then

`x* y` = 3200

y =
`(3200)/(x)`

the area if the length and width are doubled .

then

length = 2x and width = 2y

area of an aerobics floor =
`2x * 2y`

= 4xy

putting the value of y

area of an aerobics floor =
`4x* (3200)/(x)`

=
`3200* 4`

= 12800