Question

Harun is designing a room addition for a home and wants a rectangular window with area that is more than 12 square feet but not more than 24 square feet. Harun knows he wants the window to be 4 feet wide. Find an inequality to find the length for x.

Answer 1

x > 3, x < 6

3 < x < 6 This should be read as x greater than 3 and less than or equal to 6

Explanation:

The area of the window is to be within the range of 12 and 24 feet square.

From calculating area of rectangles: Length * width

width = 4 ft

length = x

for an area greater than 12, the length has to be greater than 3,

area = 4 * 3.5 = 14ft sq

for an area not more than 24, the length should not be more than 6

area = 4 * 6 = 24ft sq