Question

Find the perimeter and area of the polygon shown below. The polygon is a trapezoid made up of a rectangle and a right triangle. The rectangle is 20 feet long and 15 feet wide. The right triangle joins the rectangle at a side that is 15 feet wide, and this is the height of the triangle. The base of the triangle is 8 feet and the hypotenuse is 17 feet.

Answer 1

Answer:

Perimeter =110 feet

Area=360 feet^2

Step-by-step explanation:

Firstly, we can draw diagram

Perimeter:

we will find perimeter of rectangle and right angled triangle

and then we can add them to find perimeter

Perimeter of rectangle = 15+20+15+20

Perimeter of rectangle = 70

Perimeter of triangle = 17+8+15

Perimeter of triangle = 40

so,

total perimeter = (Perimeter of rectangle)+(Perimeter of triangle)

total perimeter =70+40

total perimeter =110 feet

Area:

We can find area of rectangle and area of right angled triangle

and then we can combine them

Area of rectangle is

$=20\times 15$

$=300$

Area of triangle is

$=\frac{1}{2}\times 8\times 15$

$=60$

now, we can combine

total area =300+60

total area =360 ft^2