Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the diagram shows the floor plan for a one - story home. if constructio…

Question

the diagram shows the floor plan for a one - story home. if construction costs $66 per square foot, find the cost of building the home.
click the icon to view the floor plan.
it will cost $\square$ to build the home.
(simplify your answer.)
floor plan

Explanation:

Step1: Calculate the area of each room

  • Dining: \(10\times14 = 140\) square feet
  • Kitchen: \(12\times14=168\) square feet
  • Master Bdrm: \(14\times14 = 196\) square feet
  • Bdrm 2: \(11\times12=132\) square feet
  • Bdrm 3: \(12\times11 = 132\) square feet
  • Living Area: \(22\times16=352\) square feet

Step2: Sum up the areas

$$ LATEXBLOCK0 $$

Step3: Calculate the cost

Cost \(=\text{Total Area}\times\text{Cost per square foot}=1120\times66\)

$$ LATEXBLOCK1 $$

Answer:

\(73920\)