Question

What is the area of this composite shape?

Answer 1

To find the area of a composite shape, divide it into simpler shapes like rectangles and triangles, calculate each one's area, and sum them up. Remember to use square units for area and to express the final answer to the correct significant figures.

Step-by-step explanation:

To answer the question, 'What is the area of this composite shape?' we approach it by breaking down the shape into simpler geometric figures, such as rectangles and triangles, and calculating the area of each individual figure separately. Then, we add up these areas to find the total area of the composite shape. It is important to remember that the area is a measurement of the extent of a two-dimensional shape or figure in a plane, and it is expressed in square units (such as square meters).

For example, to find the area of a rectangle, we multiply its height by its width. To find the area of a triangle, we use the formula 1/2 * base * height. In some cases, such as finding the area of circular or cylindrical shapes, we might need to use formulas that incorporate π (pi), such as πr² for the area of a circle.

If you encounter complex or irregular shapes, the strategy is to divide them into known shapes for which you can easily calculate the area, and then add or subtract the areas accordingly to determine the total area of the composite shape. Also, when dealing with units, make sure to convert to the same units before calculating the area and express the final answer to the correct number of significant figures.

Answer 2

Hey there!!

Let us break this shape into two shapes ( a rectangle and a triangle )

Let us break this shape at the end were the line is measured 7in.

The, it would be a rectangle with sides 7 and 6 in

7 = width

6 = length

Area of this rectangle would be length * breadth

= 7 × 6

42 in² is the area of the rectangle

now, moving onto the triangle

We can see a 90° angle after we divide the shape, which means the triangle will be a right triangle and now we use the formula

( 1 / 2 ) × base × height

The longest side is 13 in. , when we broke the figure , the portion on the above would be 7in and the portion below would be 6in.

Now, we found the height, which is 6 in.

The length of the triangle is 6 in. which means, the base of the triangle is 6in.

= ( 1 / 2 ) ( 6 ) ( 6 )

= ( 3 ) ( 6 )

= 18 in²

The total area would be 18 + 42

= 50 in² is the answer

Hope my answer helps!