Question

Brooke paints the outsides of the square walls and triangular ceilings of her treehouse. What area does she paint?​

Answer 1

Answer:

Broke paints $216\ ft^{2}$

Step-by-step explanation:

we know that

The area of the outsides of the square walls and triangular ceilings of her tree house is equal to the area of four squares and four triangles

so

$A=4[(6)^{2} +\frac{1}{2}(6)(6)]\\ \\A=4[36+18]\\ \\A=216\ ft^{2}$

Answer 2

The surface area of the square walls and triangular ceiling she painted is 216 ft²

How to find the surface area of the painted region?

The surface area of the painted region can be found as follows:

area of the square = l²

where

• l = side length

Therefore,

l = 6 ft

area of the square = 6² = 36 ft²

Area of the triangular region = 1 / 2 bh

where

• b = base
• h = height

Therefore,

area of the triangular region = 1 /  2 × 6 × 6 = 36 / 2  = 18 ft²

Therefore,

area of the painted region = 18(4) + 36(4) = 144 + 72 = 216 ft²

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