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.
1 answer:
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
Area of triangle is
now, we can combine
total area =300+60
total area =360 ft^2
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