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The expression
(1)/(2)bh gives the area of a triangle, where
b is the base of the triangle and
h is the height of the triangle. What is the area, in square centimeters, of a triangle with a base of 7 centimeters and a height of 4 centimeters?

The expression $\frac{1}{2} b h$ gives the area of a triangle, where $b$ is the base of the triangle and $h$ is the height of the triangle. What is the area, in square centimeters, of a triangle with a base of $7$ centimeters and a height of $4$ centimeters?

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Interpret parts of quadratic expressions: word problems

Full solution

Q. The expression

\frac{1}{2} b h

gives the area of a triangle, where

b

is the base of the triangle and

h

is the height of the triangle. What is the area, in square centimeters, of a triangle with a base of

7

centimeters and a height of

4

centimeters?

Identify the formula: Identify the formula for the area of a triangle. $\newline$ The formula for the area of a triangle is given by $(\frac{1}{2})bh$ , where $b$ is the base and $h$ is the height of the triangle.
Plug in values: Plug in the values for the base and height into the formula. $\newline$ Base $b$ = $7$ centimeters $\newline$ Height $h$ = $4$ centimeters $\newline$ Area = $\frac{1}{2}$ * $b$ * $h$
Perform the calculation: Perform the calculation using the given values. $\newline$ Area = $(\frac{1}{2}) \times 7 \text{ cm} \times 4 \text{ cm}$ $\newline$ Area = $(\frac{1}{2}) \times 28 \text{ cm}^2$ $\newline$ Area = $14 \text{ cm}^2$

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