Respuesta :

Answer:

Area of the shape = 240 unit²

Step-by-step explanation:

Shape in the figure attached there are two parts. One is a triangle and other a rectangle.

By adding the area of these two shapes we can get the area of complete shape.

1). Area of the triangle = [tex]\frac{1}{2}(base)(height)[/tex]

Base of the triangle = 20 units

height of the triangle = 4 units

Therefore area of triangle = [tex]\frac{1}{2}(4)(20)=40[/tex] square units

2). Area of rectangle = Length × width

                                  = 20 × 10 = 200 unit²

Total area of the shape = area of triangle + area of rectangle

                                       = 40 + 200 = 240 unit²

So the answer is area of the shape = 240 unit²

BladeRunner212

240 units²

Further explanation

Given:

  • A rectangle with length = 20 units and width = 10 units.
  • Isosceles triangle with base = 20 units and height = 4 units.

Question:

Find the total area of the shape shown below.

The Process:

Step-1: find out the area of rectangular

The area = length x width

The area = 20 x 10

Hence, the area of rectangle is 200 units².

Step-2: find out the area of isosceles triangle

The area = [tex]\frac{1}{2} \times base \times height[/tex]

The area = [tex]\frac{1}{2} \times 20 \times 4[/tex]

The area = 10 x 4

Hence, the area of triangle is 40 units².

Step-3: find out the total area

Let us calculate the sum of the area of rectangles and triangles.

Total area = 200 units² + 40 units²

Thus, the total area of the shape shown is 240 units².

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Notes

If we want to calculate the total circumference, the length of the hypotenuse of the triangle must be determined through the Pythagorean Theorem.

Learn more

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  2. Find out the area of a cube  https://brainly.com/question/12613605
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