A triangle is inscribed in a rectangle if each vertex of the triangle lies on a side of or at a vertex of the rectangle. This diagram shows shaded triangle ACE inscribed in rectangle ABDE. Find the number of square units in the area of shaded triangle ACE, if the area of the rectangle is 13.5 square units. NEED QUICKLY

6.75

Step-by-step explanation:

So basicly we know the area of the rectangle which really helpful.

So lets take the formula of the are for the triangle, which is b*h*1/2

So we know that the height and bass of the triangle is the same as the rectangle's legnth and width.

Meaning that we can replace b*h with 13.5.

So plug that into the quation.

13.5*1/h= Area of ACE

6.75= Area of ACE

hence, 6.75 is your answer

The area of the triangle ACE is; 6.75 square units.

According to the question; a triangle is inscribed in a rectangle with each vertex of the triangle lieing on a side of or at a vertex of the rectangle.

In essence, to find the number of square units in the area of shaded triangle ACE,

We have to divide the area of the rectangle by 2.

Therefore, the area of the triangle ACE is;

6.75 square units.

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can i see the following ?

step-by-step explanation:

a and c

for infinitely many solutions we require both left and right sides to be equal

distribute and simplify

a

14 - 8x = 20 - 8x - 6 = 14 - 8x ← both sides equal so infinite solutions

b

6x - 54 = 6x - 54 + x = 7x - 54 ← not equal

c

4x + 16 = 4x + 10 + 6 = 4x + 16 ← both sides equal so infinite solutions

d

5x - 40 + 10 = 5x + 10

5x - 30 = 5x + 10 ← not equal