Question

Use the figure to answer 6dash7.
9 in.
4 in.
4 in.
Question content area bottom
Part 1
6. Sara wants to build the birdhouse shown. She bought a 28​-inch by 46​-inch sheet of plywood. Does Sara have enough wood to make the​ birdhouse? Explain.
Find the area of the base and the sides.
​A(base)equals4times4equals
  
16
​A(sides)equals4times9equals
  
36
Part 2
Find the total area.
Total Areaequals2times
  
16plus4times
  
36equals32plus
  
144equals
  
176 in squared
Part 3
Upper A left parenthesis wood right parenthesis equals28times46equals
  
1288 in squared
Part 4
Does Sara have enough wood to make the​ birdhouse? Explain.
Yes.
The surface area of the birdhouse is
  
176 in squared and she has
  
1288 in squared of wood.
Part 5
7. Sara decides to paint the birdhouse. She has a pint of paint that covers 34.5 ft squared of surface. How can you tell that Sara has enough paint without​ calculating?
Sara only needs to cover
  
enter your response here in squared of​ surface, which is
▼
1.2 ft squared

Answer 1

Fill in and explain:

Part 1
A(base) = 4 × 4 = 16 in²
A(one side) = 4 × 9 = 36 in²

Part 2
Total area = 2 × 16 + 4 × 36 = 32 + 144 = 176 in²

Part 3
Area of plywood = 28 × 46 = 1288 in²

Part 4
Yes. 1288 in² of wood > 176 in² needed, so she has enough wood.

Part 5 (paint)
176 in² = 176/144 ≈ 1.22 ft² (about 1.2 ft²).
Since one pint covers 34.5 ft² and the birdhouse needs only about 1.2 ft², the pint is more than enough. (You can tell without computing precisely because the birdhouse is under 2 ft² while the pint covers over 30 ft².)