Question

What is the area of the figure?

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Answer 1

Here the figure is sum of a square and a right angled triangle.

We know that square has equal four sides. Here the length of the side of square = 10 inch.

We know that formula to find area of a square is
`a^2`, where a is the side of the square.

By substituting the value of a in the formula we will get,

The area of the square =
`(10)^2` = 100 square inches.

Now we have the right angled triangle.

To find the base of the triangle we will subtract 6 from the side length of the square.

So base of the triangle =
`(10-6)` = 4 inches.

To get height of the triangle we will subtract the side length of the square from 16. We will get,

`(16-10)` = 6 inches.

Now we know that the formula to find the area of the triangle =
`(1)/(2) bh`, where b is the base and h is the height.

Here we have b = 4 inches and h = 6 inches.

The area of the triangle

=
`(1)/(2)(4)(6)`

=
`(1)/(2)(24)`

=
`12`

So area of the triangle = 12 square inches.

Now total area of the figure is sum of area of the square and area of the triangle.

Total area =
`(100+12)` square inches = 112 square inches.

We have got the required answer.

The total area of the figure = 112 square inches.