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You started with a rectangle and added 2 triangles. If the area of the parallelogram is 18cm^(2), what is the area of each triangle ?

User Mpalanco
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Final answer:

To find the area of each triangle, subtract the area of the rectangle from the total area of the parallelogram and divide the result by 2.

Step-by-step explanation:

To find the area of the two triangles, we need to subtract the area of the rectangle from the total area of the parallelogram. The area of the rectangle can be found by multiplying its length and width. Once we have the area of the rectangle, we can subtract it from the given area of the parallelogram to find the combined area of the two triangles. Finally, to find the area of each triangle, we divide the combined area by 2.

Let's assume the length of the rectangle is 'l' and the width is 'w'. The formula for the area of a rectangle is A = l × w. Given that the area of the parallelogram is 18 cm²:

A = l × w

18 = l × w

Now, let's assume the area of one triangle is 't'. Since we have two triangles, the combined area of both triangles is 2t. Therefore, we can set up the equation:

2t = 18 - (l × w)

To find the area of each triangle, we divide the combined area by 2:

Area of each triangle = (2t) ÷ 2

Therefore, the area of each triangle is (18 - (l × w)) ÷ 2.

User Kuyabiye
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