Q:

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

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

Accepted Solution

A:
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,[tex]\text{Area of composite}=\text{Area of Square A} + \text{Area of triangle B} + \text{Area of Rectangle C} + \text{Area of Rectangle D}\\[/tex][tex]\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[/tex]Thus, the area of the composite figure is 264 cm².Learn more about the Area: What is the area of the composite figure? 262 cm2 264 cm2 266 cm2 268 cm2 65047b3b5acdf.webp