Question

The area of the triangle below is \frac{9}{20}
20
9
​
square feet. What is the length of the base? Express your answer as a fraction in the simplest form.

Answer 1

Answer:

3/2 ft

Step-by-step explanation:

Height h = ⅗ ft

Area = 9/20 ft

Since area = ½bh,

$\frac{9}{20} = \frac{1}{2} \times b \times \frac{3}{5} \\ \frac{9}{20} = \frac{3}{10} \times b \\ \frac{9}{20} = \frac{3b}{10}$

By cross multiplication, we get

9 × 10 = 3b × 20

90 = 60b

$b = \frac{90}{60} = \frac{9}{6} = \frac{3}{2}$

So, the base of the triangle = 3/2 ft

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