Question

A) The perimeter is ___. Include units.b) The area is ___. Include units

Answer 1

`\begin{gathered} Perimeter_(triangle)=54\text{ in} \\ \text{Area}_(rec\tan gle)=108in^2 \end{gathered}`

Step-by-step explanation

Step 1

the perimeter is line forming the boundary of a closed geometrical figure, To find the perimeter of a trianngle, add the lengths of the triangle's 3 sides

so,

`\text{Perimeter}=\text{ side1+side2+side 3}`

replace

`\begin{gathered} \text{Perimeter}=15\text{ in+ 15 in +24 in} \\ \text{Perimeter}=54\text{ in} \end{gathered}`

Step 2

the area of a rectangle is given by:

`\text{Area}_(rec\tan gle)=(base\cdot heigth)/(2)`

then, let

base= 24 inches

height= 9 in

now, replace.

`\begin{gathered} \text{Area}_(rec\tan gle)=(base\cdot heigth)/(2) \\ \text{Area}_(rec\tan gle)=\frac{24\text{ in}\cdot9in}{2} \\ \text{Area}_(rec\tan gle)=(216in^2)/(2) \\ \text{Area}_(rec\tan gle)=108in^2 \end{gathered}`

so, the area is 108 square inches.

I hope this helps you