Question

What fraction of the rectangle is shaded? PLS PLS PLS help ASAP! Ty

Answer 1

Answer:

2/3

Step-by-step explanation:

Answer 2

Answer:

$\frac{1}{3}$

Step-by-step explanation:

Calculate the total area of the rectangle:

21 x 12 = 252

Half of the rectangle is unshaded so:

252 ÷ 2 = 126

For clarification, side A is the top, side B is the left hand side and side C is the bottom.

Now, find the area of the unshaded side of the other triangle. As the length of side C is 21 and the shape is a rectangle, side A is also 21. We need to calculate the amount is unshaded on this side so:

21 - 14 = 7

(7 x 12) ÷ 2 = unshaded

84 ÷ 2 = 42

So now we know the total of the shape that is shaded, we can now subtract this from the total area of the shape:

252 - 126- 42 =   84

Which in fraction form is:

$\frac{84}{252}$

This can be simplified down by dividing both the numerator and the denominator by 3:

$\frac{84 \div 3}{252 \div 3}$

=$\frac{1}{3}$

Hope this helps!