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puteri [66]
3 years ago
9

A right triangle is removed from a rectangle to create the shaded region shown below. Find the area of the shaded region. Be sur

e to include the correct unit in your answer.

Mathematics
2 answers:
Mashcka [7]3 years ago
7 0
The sides of a right triangle are
a=8-5=3
\\ b=6-4=2
\\
\\A=A_{rectangle}-A_{triangle}=8\times 6-  \frac{ab}{2} =48-\frac{3\times2}{2}=48-3=45
hoa [83]3 years ago
4 0

Answer:

The area of shaded region is 45 square units.

Step-by-step explanation:

The length of the rectangle is 8 and the breadth is 6.

Area of rectangle is

A_R=l\times b

A_R=8\times 6=48

The area of rectangle is 48 square units.

Since the opposite sides of a rectangle are equal, therefore the legs of the right angled triangle are

l_1=8-5=3

l_2=6-4=2

The area of right angled triangle is

A_T=\frac{1}{2}\times l_1\times l_2

A_T=\frac{1}{2}\times 3\times 2=3

The area of triangle is 3 square units.

The area of shaded region is

A=A_R-A_L=48-3=45

Therefore the area of shaded region is 45 square units.

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