Question

What is the area of the composite figure? 262 cm2 264 cm2 266 cm2 268 cm2

Answer 1

The Area is a two-dimensional scalar quantity. The area of the composite figure is 264 cm².

What is the area?

The area of a two-dimensional region, form, or planar lamina in the plane is the quantity that represents its extent. On the two-dimensional surface of a three-dimensional object, the surface area is its counterpart.

The composite figure can be broken down into four parts a square(A), a triangle(B) and two rectangles(C and D).

Now, if the area of the composite figure is taken out it will be,

$\text{Area of composite}=\text{Area of Square A} + \text{Area of triangle B} + \text{Area of Rectangle C} + \text{Area of Rectangle D}$

$\text{Area of Composte}=(10^2)+(\dfrac12 \times 6 \times 4)+(8 \times 4)+(20 \times 6)\\\\\text{Area of Composte}= 100+ 12 + 32 + 120 =264\rm\ cm^2$

Thus, the area of the composite figure is 264 cm².

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