Question

One of Julian's friends also has a rectangular aquarium. The dimensions of his friend's tank are each exactly 1 1/4 times the dimensions of Julian's tank.

If the area of the rectangular base of Julian's tank is approximately 300 square inches, what is the approximate area of the rectangular base of his friend's tank?

302.5 square inches
375 square inches
750 square inches
468.75 square inches

Answer 1

468.75 square inches

Explanation:

Let the length of Julian's tank be x

Let the width of Julian's tank be y

So, Area of Julian's tank=
`Length * Width =xy`

Since we are given that Julian's tank is approximately 300 square inches

So,
`xy=300` --1

Now we are given that The dimensions of his friend's tank are each exactly
`1(1)/(4) =(5)/(4)`times the dimensions of Julian's tank.

So,length of his friend's tank =
`(5)/(4)x`

So,width of his friend's tank =
`(5)/(4)y`

So, Area of his friend's tank=
`(5)/(4)x * (5)/(4)y`

=
`(25)/(16)xy`

=
`(25)/(16)(300)` (Using 1)

=
`468.75`

Hence the approximate area of the rectangular base of his friend's tank is 468.75 square inches.

So, Option D is correct.