QuestionCalculate the area of a shape with top 20 m, sides 18 m, bottom segments 5 m each, and a cut-out (base 10 m, height 5 m).
Studdy Solution
STEP 1
Assumptions1. The top side of the shape measures20 m. The two vertical sides each measure18 m3. The bottom side consists of two segments each measuring5 m, with a cut-out in between4. The cut-out has a base of10 m and a height of5 m5. The shape can be divided into a rectangle and a triangle
STEP 2
First, we need to find the area of the rectangle. The area of a rectangle can be found by multiplying the length by the width.
STEP 3
Now, plug in the given values for the length and width of the rectangle. The length is the top side of the shape (20 m), and the width is the vertical side (18 m).
STEP 4
Calculate the area of the rectangle.
STEP 5
Next, we need to find the area of the triangle. The area of a triangle can be found by multiplying the base by the height and then dividing by2.
STEP 6
Now, plug in the given values for the base and height of the triangle. The base is the bottom side of the cut-out (10 m), and the height is the height of the cut-out (5 m).
STEP 7
Calculate the area of the triangle.
STEP 8
Finally, to find the area of the entire shape, we subtract the area of the triangle from the area of the rectangle.
STEP 9
Plug in the values for the area of the rectangle and the area of the triangle.
STEP 10
Calculate the area of the shape.
The area of the shape is335 square meters.
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