Respuesta :
The area of the rectangular base of his friend's tank is 468.75 square inches. So, Option D is correct.
What is the area of the rectangle?
The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
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.
Let x be the length of Julian's tank.
Let y be the width of Julian's tank.
So, the Area of Julian's tank = length × Width
= xy
Since we are given
300 = xy
Now we are given that the dimensions of his friend's tank are each exactly times the dimensions of Julian's tank.
So, the length of his friend's tank = 5/4 x
So, the 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)
= 468.75
Hence the area of the rectangular base of his friend's tank is 468.75 square inches.
So, Option D is correct.
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