Question

1. jack is building an all - glass gazebo. he will use glass on the roof and four walls. to the right is a 3 - d diagram with dimensions. what amount of glass is required for the gazebo (ignoring frames around the glass)? round your answer to the nearest square foot. hint: find the surface area of 4 triangles and 4 squares.

Explanation:

Step1: Calculate area of one triangle

The area formula for a triangle is $A=\frac{1}{2}bh$. Here, base $b = 10$ ft and height $h=6$ ft. So, $A_{triangle}=\frac{1}{2}\times10\times6 = 30$ square - feet.

Step2: Calculate total area of 4 triangles

Since there are 4 triangles, $A_{total - triangles}=4\times A_{triangle}=4\times30 = 120$ square - feet.

Step3: Calculate area of one square

The area formula for a square is $A = s^2$, where side $s = 10$ ft. So, $A_{square}=10\times10 = 100$ square - feet.

Step4: Calculate total area of 4 squares

Since there are 4 squares, $A_{total - squares}=4\times A_{square}=4\times100 = 400$ square - feet.

Step5: Calculate total area of glass

The total area of glass $A = A_{total - triangles}+A_{total - squares}=120 + 400=520$ square - feet.

Answer:

520 square feet