Answer:
437mm²
Step-by-step 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:
[tex]A=\dfrac{1}{2}bh[/tex]
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.
[tex]A=\dfrac{1}{2}38*7[/tex]
[tex]A=\dfrac{1}{2}266[/tex]
[tex]A=0.5*266[/tex]
[tex]A=133mm²[/tex]
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.
