Question

Room A has an area of 198 square feet and Room B has an area of 300 square feet. Both of the square rooms are square in shape. which ratio is closest to the ratio of the length of a side of Room A to the length of a side of Room B?

A. 14:17

B. 198:300

C. 99:150

D. 14:16



And how do you calculate/ do this

Answer 1

Here, we are required to determine the ratio closest to the length of a side of Room A to the length of a side of Room B.

The ratio which is closest to the ratioof the length of Room A to the length of a side of Room B is 14:17. The answer is Choice A.

The area of a square is ; A = L²

where L = the length of a side of the square.

Length, L = √A

As such;

• Therefore, the length of a side of Room A is; L(a) = √198 = 14.07feet

• And, the length of a side of Room B is; L(ab) = √300 = 17.32feet

Consequently, the approximate length of Room A and Room B are 14 and 17 respectively.

Therefore, the ratio which is closest to the ratioof the length of Room A to the length of a side of Room B is 14:17.

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