516,595 views
1 vote
1 vote
& triangle is inscribed

in a rectangle, as shown below. What is the area of the shaded
region?
5 cm
3 cm
5 cm
11 cm
A. 40 cm2
C. 47.5 cm2
B. 62.5 cm2
D. 22.75 cm2

& triangle is inscribed in a rectangle, as shown below. What is the area of the-example-1
User Robinmag
by
2.4k points

2 Answers

11 votes
11 votes

we can simply get the area of the whole rectangle, that is, the rectangle including the triangle in it, and then get the area of the triangle and subtract it from that of the rectangle, what's leftover, is the part we did not subtract, namely the shaded region.


\stackrel{\textit{\Large Areas}}{\stackrel{rectangle}{(5)(11)}~~ - ~~\stackrel{triangle}{\cfrac{1}{2}(\stackrel{b}{5})(\stackrel{h}{3})}}\implies 55~~ - ~~\cfrac{15}{2}\implies \cfrac{95}{2}\implies 47.5

User Kwaw Annor
by
2.4k points
16 votes
16 votes

Answer: I am not really sure but I think its c

Explanation:

User Vikas Raturi
by
2.9k points