To get the area of the shaded part. We will subtract the area of the rectangle to the area of the two equal triangles.
As you can see on the figure , The rectangle is divided into two equal triangles: So each base measures 12 cm.
24 ÷ 2 = 12cm
The Area of a triangle is
A = 1/2(b)(h)
So if the base is 12 and the height is 10 , the area is:
A = 1/2(10)(12)
A = 120/2
A = 60cm²
Note that there are two triangles thus , the total area of the two triangles are:
Δ1 + Δ2 = 60 + 60 = 120cm²
Now , We will solve the area of the rectangle:
Area = LW
Area = 24(15)
Area = 360cm²
Going back to the first concept that if we subtract the area of the two triangles to the area of the rectangle , We can find the area of the shaded region:
Answers & Comments
Answer:
The Area of the shaded region is 240cm²
Step-by-step explanation:
To get the area of the shaded part. We will subtract the area of the rectangle to the area of the two equal triangles.
As you can see on the figure , The rectangle is divided into two equal triangles: So each base measures 12 cm.
24 ÷ 2 = 12cm
The Area of a triangle is
So if the base is 12 and the height is 10 , the area is:
Note that there are two triangles thus , the total area of the two triangles are:
Now , We will solve the area of the rectangle:
Area = LW
Area = 24(15)
Area = 360cm²
Going back to the first concept that if we subtract the area of the two triangles to the area of the rectangle , We can find the area of the shaded region:
Area_rectange - Area_2(triangles) = Shaded
360cm² - 120cm² = Shaded region
240cm² = Shaded region