Question

What is the area, in square meters, of the trapezoid below?

Answer 1

Answer: 94.54 m^2 (square meters)

Step-by-step explanation: The formula for the area of a trapezoid is A = 1/2(a+b)h; where a and b are the two top sides of the trapezoid that are parallel. Let us then solve.

Let us combine both sides two maintain the overall side for "b", which is 18 + 5.1 = 23.1

Let us now add both sides (a + b.) 23.1 + 9.5 is 32.6. We can now multiply by the height. 32.6 multiplied by 5.8 is 189.08

We can now divide (or multiply by 1/2), which is 189.08 * 1/2 or 189.08/2 and that equals 94.54.

Answer 2

Step 1

Find the area of the Rectangle in the middle

To find the area, you have to do $Length*Width$

$9.5*5.8=55.1$

The area of the Rectangle in the middle is 55.1m²

Step 2

Find the area of the triangle on the right

To find the area of 1 triangle, we have to use the formula show below:

$A=\frac{1}{2}* Base *Height$

Base = the part on the bottom

Height = How high the triangle is

$A=\frac{1}{2} *5.1*5.8\\=\frac{1}{2} *29.58\\=14.79$

The area of the triangle on the right is 14.79m²

Step 3

Find the area of the triangle on the left

Using the formula that we used in the last question about finding the area of the triangle, we can find our answer, here is the formula:

$A=\frac{1}{2}* Base *Height$

Base = the part on the bottom

Height = How high the triangle is

BUT, before finding the area of this part of the triangle, we have to first find the dimensions, we know the height, but we don't know the base, so to find the base, we will subtract 18 by 9.5 to get our base

$18-9.5=8.5$

So the base of the triangle on the LEFT is 8.5m

NOW, we can find the area of the triangle on the left

$A =\frac{1}{2}* 8.5*5.8\\=\frac{1}{2} *49.3\\=24.65$

So the area of the triangle on the LEFT is 24.65m²

Step 4

Add up all the areas to get final answer!

The areas of the 3 shapes are...

55.1m²

14.79m²

24.65m²

If we add these numbers up, we get 94.54m²

The area of the trapezoid is 94.54m²