Question

what is the area?
write your answer as a fraction or as a whole or mixed number.
triangle with height 1 mi and base segment 1 3/4 mi, right - angled at the base of the height
blank square miles
submit

Explanation:

Step1: Recall the formula for the area of a triangle

The formula for the area of a triangle is $A = \frac{1}{2} \times base \times height$.

Step2: Identify the base and height

From the diagram, the base of the triangle is $1\frac{3}{4}$ miles (which is equal to $\frac{7}{4}$ miles) and the height is $1$ mile.

Step3: Substitute the values into the formula

$A=\frac{1}{2}\times\frac{7}{4}\times1$

Step4: Calculate the area

First, multiply $\frac{1}{2}$ and $\frac{7}{4}$: $\frac{1}{2}\times\frac{7}{4}=\frac{7}{8}$. Then multiply by $1$ (which doesn't change the value), so the area is $\frac{7}{8}$ square miles.

Answer:

$\frac{7}{8}$