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Mathematics

1 answer:

irina1246 [14]2 years ago

3 0

Answer:

One Triangle = 2.09 in²

Two Triangles = 4.18 in²

Rectangle = 17.48 in²

Total area of whole trapezoid = 21.66 in²

Step-by-step explanation:

Since it was not clarified which region is shaded we will just find the area of each individual part of the shape.

Let's start with the triangles.

1. To find the area of a triangle, the formula is $\frac{1}{2} b*h$ . It is given that the base of one triangle is equal to 1.1 in and the height is equal to 3.8 in., so in the equation, it would look like:

$\frac{1}{2} * 1.1 * 3.8 = 2.09$ in²

2. So now that we know one triangle is equal to 2.09 in², we now know that the other triangle is equal to the same area. To find the total of the two triangles you need to multiply the area by 2:

$2.09 *2=4.18$ in²

Moving on to the rectangle...

1. To find the area of the rectangle we need to use the formula base times height or b x h. It is given that the height is 3.8 in while the length is 4.6 in. So in the equation it would look like:

$4.6 * 3.8 = 17.48$ in²