Question

Find the base of a triangles in
inches whose area is 2.75 sq.feet
and the height is 33 inches.

Answer 1

The base of triangle is 24 inches whose area is 2.75 sq. feet

Solution:

Given, area of a triangle is 2.75 square feet and its height is 33 inches.

We have to find its base length in inches.

So let us convert area units from feet to inches.

Area = 2.75 square feet = 2.75 $\times$ ft $\times$ ft

= 2.75 $\times$ 12 inches $\times$ 12 inches

[since 1 foot = 12 inches ]

= 2.75 x 144 $\times$ $in^2$

Area = = 396 $in^2$

Area of triangle is given as:

$\text {area}=\frac{1}{2} \times \text { base } \times \text { height }$

$\begin{array}{l}{396= \frac{1}{2} \times \text { base } \times 33} \\\\ {2 \times 396=\text { base } \times 33} \\\\ {792=\text { base } \times 33} \\\\ {\text { Base }=\frac{792}{33}=24}\end{array}$

Hence, the base of the triangle is 24 inches