Question

If 3/4 of the area of a rectangle is 84cm^2, what is the whole area of the given triangle

Answer 1

should I find for the rectangle or triangle

Answer 2

ANSWER:

If 3/4 of the area of a rectangle is 84 $cm^{2}$ then whole area of rectangle is $112 cm^{2}$

SOLUTION:

Given, 3/4 of the area of a rectangle is 84 $cm^{2}$

We need to find what is the whole area of the given triangle.

Let the area of rectangle be x.

Then according to the given information

$\begin{array}{l}{\frac{3}{4} \times \text { area of rectangle }=84 \mathrm{cm}^{2}} \\\\ {\frac{3}{4} \times x=84} \\\\ {\frac{3 x}{4}=84}\end{array}$

On cross-multiplication, we get

3x = 84 × 4

$x=\frac{84 \times 4}{3}=28 \times 4=112$

Hence, the area of the rectangle is 112 $cm^{2}$