Question

The area of this rectangle is at most 400 square centimeters. Write and solve an inequality to represent the

possible values for the height, h, for this triangle. Show all steps of your work

Answer 1

1ft≤h≤25ft

Explanation:

The area of a rectangle is expressed as;

Area = Length * height

A = Lh

If the area of a rectangle is at most 400 square centimeter, this is expressed as;

A ≤400

≤ means at most that is the area of the rectangle cannot be greater than 400

Substitute the given value into the inequality expression

Lh ≤ 400

Given

L = 16

16h ≤ 400

Divide both sides by 16

16h/16 ≤ 400/16

h ≤ 400/16

h ≤ 25

Hence the possible values of the height are with the range 1ft≤h≤25ft since we cannot have a negative value for the dimension