Question

Karl needs to build a stage that has an area of 90 square feet. The length of the stage should be longer than the width. What are the possible whole-number measurements for the length and width of the stage?

Answer 1

Answer:

{5 ft, 18 ft}, {1 ft, 90 ft}, {9 ft, 10 ft}

Step-by-step explanation:

Represent the length and width by L and W respectively.

Then one requirement may be expressed as L > W.

The other requirement is L * W = 90 ft^2.

Let's temporarily replace W in this equation with L:

L^2 = 90 ft^2, so that L must be the positive square root of 90 ft^2:

L = √(90 ft^2) ≈ 9.5

Since L must be greater than W, we can write L > 9.5 ft.  The nearest integer L would be 10, in which case the nearest integer W would be 9, which means that the area of the stage would be 90 ft^2 (as required).

{9 ft, 10 ft} are possible whole number measurements for L and W.  Here W < L, as required, and L and W are both integers.

{5 ft, 18 ft} is another possible set of measurements.

So is {1 ft, 90 ft}.

Answer 2

Answer:It is 154 square inches. and 38 width

Step-by-step explanation: