Question

area of triangle = $\frac{1}{2}bh$
find the actual base and height of the garden.
actual base =
actual height = 12 ft
height = 6 in.
base = 5 in.

Explanation:

Step1: Set up proportion

Let the actual base be $x$ feet. We know that the ratio of the height on - paper to the actual height is the same as the ratio of the base on - paper to the actual base. The height on paper is 6 inches and the actual height is 12 feet (since 1 foot = 12 inches, 12 feet = 144 inches), and the base on paper is 5 inches. So the proportion is $\frac{6}{144}=\frac{5}{x\times12}$ (converting actual base $x$ from feet to inches).

Step2: Cross - multiply

Cross - multiplying the proportion $\frac{6}{144}=\frac{5}{12x}$ gives us $6\times12x = 144\times5$.

Step3: Simplify the equation

$72x=720$.

Step4: Solve for $x$

Dividing both sides of the equation $72x = 720$ by 72, we get $x = 10$.

Answer:

10