Question

Alicia will construct a rectangle that has a height of 4 units and an area of up to 48 square units. Which inequality represents all the possible lengths in units of the bases, b, that Alicia can use to construct this rectangle?

Answer 1

b ≤ 12

Explanation:

The area of the rectangle is given by length multiplied by breadth.

The area of the rectangle up to 48 units square means that it can be 48 or less than 48.

If the height given is taken as the width of the rectangle then we can find the base which will be the length of the rectangle.

Area = length * breadth

4units * base ≤ 48 units square

base ≤ 48 units square/4 units

base ≤ 12 units

b ≤ 12 units