Question

glenn is building aa ramp out of plywood. he is going to use plywood sheets that are each 23 square feet. How many plywood sheets will glenn need to build all five sides of the ramp, assuming the bottom is also covered with plywood

Answer 1

Given data:

The area of the single plywood is a= 32 sq-feet.

The given figure of the ramp.

The expression for the hypotenuse of the triangle is,

`\begin{gathered} (3ft)^2+(4ft)^2=h^2 \\ h^2=(25)ft^2 \\ h=5\text{ ft} \end{gathered}`

The area of the ramp is,

`\begin{gathered} A=2*(1)/(2)(3\text{ ft)(4 ft)+}(10(2)/(5)\text{ ft)( 5 ft)+}(3\text{ ft)}(10(2)/(5)\text{ ft)}+(4\text{ ft)}(10(2)/(5)\text{ ft)} \\ =(3\text{ ft)(4 ft)+}(10.4\text{ ft)( 5 ft)+}(3\text{ ft)}(10.4\text{ ft)}+(4\text{ ft)}(10.4\text{ ft)} \\ =136.8ft^2 \end{gathered}`

The numbers of plywood sheet require are,

`\begin{gathered} n=(A)/(a) \\ =(136.8ft^2)/(32ft^2) \\ =4.275 \\ \approx5 \end{gathered}`

Thus, the numbers of plywood sheet needs are 5, so option (H) is correct.