Question

What is the area of the figure below?

Answer 1

Answer:

Option a 26 inches square

Step-by-step explanation:

Given in the picture is a triangle with 3 sides as 10.8 inches, 5 inches and base =10+3 = 13 inches

The altitude for base 13 inches is shown as 4 inches.

We know that for any triangle area

=1/2 * base * height

Here base = 13 and height = 4

Hence area = 1/2 (13)(4) = 26 inches square

Answer is option a

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This can be done in another way also

There are two triangles one with base 10 inches and height 3 inches and another with base 3 inches and height 4 inches

Area of combined figure = sum of area of two triangles

= 1/2 (10)(4) +1/2(3)(4) =

20+6

=26 square inches

Answer 2

The area of the triangle is 26 inches squared