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ludmilkaskok [199]
3 years ago
9

The trapezoid above is cut into two triangles with a black line. Find the area of the two triangles and add the areas together.

(HINT: Don't forget that you have to divide by 2 for the area of triangles!) No labels.

Mathematics
2 answers:
Rom4ik [11]3 years ago
7 0

Answer:

Step-by-step explanation:

The triangle on the left is going to be a little trickier than the one on the right.

Right

height = 6

base = 8

Area = 1/2 * 6 *  8 = 24

Left

h=6

base = 6

Area = 1/2 * 6 * 6

Area = 18

Total Area = 18 + 24 = 42

Leokris [45]3 years ago
5 0

Answer:

42

Step-by-step explanation:

The area of a triangle with base b and height h is given by A=\frac{1}{2}bh. In the trapezoid, the two triangles share a height of 6, however one has a base of 6 and the other has a base of 8.

Area of smaller triangle (triangle on the left): \frac{1}{2}\cdot 6 \cdot 6=18\:\mathrm{cm^2}

Area of larger triangle (triangle on the right): \frac{1}{2}\cdot 8 \cdot 6=24\:\mathrm{cm^2}

Therefore, the sum of their areas are 18+24=\boxed{42\:\mathrm{cm^2}}

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