Math

QuestionFind the area of a triangle with base 20 in and height 18 in, and the area of a rectangle 20 in by 18 in.

Studdy Solution

STEP 1

Assumptions1. The base of the triangle is20 inches. The height of the triangle is18 inches3. The length of the rectangular flag is20 inches4. The width of the rectangular flag is18 inches

STEP 2

First, we need to calculate the area of the triangle. The formula for the area of a triangle is given byAreatriangle=12×Base×HeightArea_{triangle} = \frac{1}{2} \times Base \times Height

STEP 3

Now, plug in the given values for the base and height of the triangle to calculate the area.
Areatriangle=12×20inches×18inchesArea_{triangle} = \frac{1}{2} \times20\, inches \times18\, inches

STEP 4

Calculate the area of the triangle.
Areatriangle=12×20inches×18inches=180squareinchesArea_{triangle} = \frac{1}{2} \times20\, inches \times18\, inches =180\, square\, inches

STEP 5

Next, we need to calculate the area of the rectangular flag. The formula for the area of a rectangle is given byArearectangle=Length×WidthArea_{rectangle} = Length \times Width

STEP 6

Now, plug in the given values for the length and width of the rectangle to calculate the area.
Arearectangle=20inches×18inchesArea_{rectangle} =20\, inches \times18\, inches

STEP 7

Calculate the area of the rectangle.
Arearectangle=20inches×18inches=360squareinchesArea_{rectangle} =20\, inches \times18\, inches =360\, square\, inchesa) The area of the black triangle is180 square inches. b) The area of the whole flag is360 square inches.

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