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V125BC [204]
2 years ago
13

A rectangular stained glass window is made up of identical triangular parts as pictured below.

Mathematics
2 answers:
ratelena [41]2 years ago
8 0
<h3><u>Answer:</u></h3>

Hence, the area of shaded region is:

72 square inches.

<h3><u>Step-by-step explanation:</u></h3>

We have to find the area of the shaded region i.e. we have to find the area of a triangle.

Clearly the shaded triangle is in the shape of a right triangle.

we will firstly find the dimension of the triangle in order to find it's area.

Clearly the base(b) of a triangle is 36/4= 9 inches.

( since the side of the rectangle of length 36 inches is divided into 4 equal parts)

similarly the height(h) of the right triangle is:

48/3=16 inches.

( since the side of rectangle of measure 48 inches is divided into 3 equal parts)

Hence, the area of triangle is calculated as:

Area=\dfrac{1}{2}\times b\times h\\\\\\Area=\dfrac{1}{2}\times 9\times 16\\\\Area=72\text{square\ inches}

Hence, the area of shaded region is:

72 square inches.

Pachacha [2.7K]2 years ago
3 0
36/4=9 48/3=16 so 9*16=144/2=72 so it is 72 square inches
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