The front wall of the shed that Rita built is 9 feet tall and 5.25 feet wide. After she cut out a section of the door, the area of that wall was 26.25 square feet. The measurements of the doorway were whole numbers of feet. What size is the doorway?

Question

09-02-2017
Mathematics

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The front wall of the shed that Rita built is 9 feet tall and 5.25 feet wide. After she cut out a section of the door, the area of that wall was 26.25 square feet. The measurements of the doorway were whole numbers of feet. What size is the doorway?

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taskmasters taskmasters · Answer 1 · 2017-02-20T14:42:20+01:00

First, we determine the area of the wall before cutting out the door by multiplying the dimensions given.
area of wall = ( 9 ft)(5.25 ft) = 47.25 ft²
Then, we determine the area of the door by subtracting from the total area the area of the remaining wall.
area of door = 47.25 ft² - 26.25 ft² = 21 ft²
The two whole numbers that can be the sides of the door are 7 ft x 3 ft.