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Sauron [17]
3 years ago
8

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 di

mensions 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
Mathematics
1 answer:
daser333 [38]3 years ago
8 0

Answer:

468.75 square inches

Step-by-step 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 \times 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 exactly1\frac{1}{4} =\frac{5}{4}times the dimensions of Julian's tank.

So,length of his friend's tank =\frac{5}{4}x

So,width of his friend's tank =\frac{5}{4}y

So, Area of his friend's tank=\frac{5}{4}x \times \frac{5}{4}y

                                             =\frac{25}{16}xy

                                             =\frac{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.

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