Question

What is the area of this figure?

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units²

Answer 1

36 units2

Explanation:

To find the area of that particular figure, we need to divide it into 2 parts: part A and part B, respectively.

Since both of these parts are trapezium thus using the formula for their area is 1/2 x height x (sum of parallel sides).

We need to count the numbers on the graph to find the parallel sides.

So,

Area of A = 1/2 x h x (a+b) = 1/2 x 5 x (6+3) = 22.5 units2

Area of B = 1/2 x h x (a+b) = 1/2 x 3 x (4+5) = 13.5 units2

To find the area of the whole figure, we need to add the area of the two shapes.

So,

Area of the figure = Area of A + Area of B = 22.5 + 13.5 = 36 units2