Let's start by identifying the figure shown in the given diagram!
The figure is a quadrilateral with exactly one pair of parallel sides, so our figure is a trapezoid. We want to find the perimeter and area of the trapezoid. Let's do these things one at a time.
Perimeter
We want to calculate the perimeter of the trapezoid. Let's start by marking the side lengths of the figure.
The perimeter of a trapezoid is calculated by adding its four side lengths. Let's find the perimeter of our trapezoid!
Perimeter:
15+ 9.85+ 11+ 9=44.85
The trapezoid has the perimeter of 44.85 meters.
Area
The area of a trapezoid is half of its height times the sum of the lengths of its bases.
A=1/2(b_1+b_2)h
Let's identify the bases and height of the trapezoid on the given diagram!
In the given trapezoid, the bases are 11 and 15 meters long. We can also see that the trapezoid has a height of 9 meters. Let's substitute these values into our formula and simplify.
We can start by identifying the figure in the diagram!
We can see that the figure in the diagram is a polygon with three angles and three sides — in other words, our figure is a triangle. We want to find the perimeter and area of the triangle. Let's do these things one at a time.
Perimeter
The perimeter of a figure is the sum of its side lengths. For a triangle, this is the sum of sides a, b, and c.
P=a+b+c
Let's mark the side lengths of the triangle on the diagram.
Let's substitute the given values a= 14, b= 9, and c= 7 into the formula and simplify.
Now we want to find the area of the triangle. Let's remember the formula for the area of a triangle.
A=1/2bh
In this formula, b is the length of the base and h is the height. Let's look at our diagram!
Let's substitute b= 9 for the base and h= 4 for the height into the formula and simplify to find A.
