Question

The diagram shows a plan for the rectangular house with an attached porch. The combined area of the house and the porch is 733ft2. What is the value of x? Show your work. The numbers are 59ft, 13ft, 6 ft, 7ft, 9ft is the porch, x ft

Answer 1

The value of x in the diagram is 8 feet that makes the combined area of the house and the porch to be 733 ft²

How to calculate area?

Combined area = big rectangle + smaller rectangle - triangle

Hence:

733 = (13 * (59 - x)) + (x * 9) - 0.5(9 - 7) * (x - 6)

733 = 767 - 13x + 9x - x + 6

x = 8 feet

The value of x in the diagram is 8 feet that makes the combined area of the house and the porch to be 733 ft²

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