Question

Find the area of the shaded polygon

Answer 1

Area_poly = 570 mm^2 - 133 mm^2 = 437 mm^2

Explanation:

The area of the shaded polygon is equal to the are of the whle rectangle minus thea area of the white triangle.

Rectangle area = l*h = 15mm*38 mm = 570 mm^2

Triangle area = base*height/2

Triangle area = (38mm)*(15mm-8mm)/2

Triangle area = (38mm)*(15mm-8mm)/2 = 133 mm^2

Area of the shaded polygon

Area_poly = 570 mm^2 - 133 mm^2 = 437 mm^2

Answer 2

437mm²

Explanation:

First we need to find the total area of the rectangle. The area of a rectangle can be found by using the formula:

A = L x W

L = 15mm

W = 38mm

So now we plug it into our formula.

A = 15mm x 38mm

A = 570mm²

Now that we have the total area, we now need to solve for the area of the triangle.

The area of a triangle can be found by using the formula:

`A=(1)/(2)bh`

To find the height of the triangle we take the total height and subtract it to the measurement given in the figure.

h = 15mm - 8mm

h = 7mm

b = 38mm

Now that we have both the base and height we can use the formula for the triangle.

`A=(1)/(2)38*7`

`A=(1)/(2)266`

`A=0.5*266`

`A=133mm²`

Now that we have the area of both the triangle and the rectangle, we simply subtract the area of the triangle to the area of the rectangle.

Shaded Area = 570mm² - 133mm²

Shaded Area = 437mm²

The area of the shaded area is equal to 437mm².