Question

Find the area of figure below,
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Answer 1

Answer: 57 cm²

Step-by-step explanation:

We can split this figure into two shapes: the rectangle on the left and the triangle on the right. We can find the area of each separately and add them to get the total area.

Rectangle

The area of a rectangle is $lw$, where l is the length and w is the width. We can just multiply 8 and 6 to get the area of the rectangle.

$A=8*6\\A=48$

Triangle

The area of the triangle is $\frac{1}{2}bh$, where b is the base of the triangle and h is the height. Here' the base would be 6 cm as opposite sides of a rectangle have the same measure, and the height is 3.

$A=\frac{1}{2}(6*3)\\A=\frac{1}{2}(18)\\A=9$

Total

The total area would just be the sum of the two separate areas.

$48+9=57$

Hence, the area of the figure is 57 cm².

Answer 2

Answer: 57 cm^2

Step-by-step explanation:

To find the entire area of the figure, we have to find the area of the rectangle and the triangle and sum it up

The area of the rectangle is 6 * 8 = 48 cm^2

The area of the triangle is 1/2 * 3 * 6(Opposite sides of a rectangle have equal lengths) = 9 cm^2

So the area of the figure is 48 + 9 = 57 cm^2