Question

A student said, “We can’t find the area of the shaded region because the shape has many different measurements, instead of just a length and a width that we could multiply.” Explain why the student’s statement about area is incorrect.

Answer 1

The student's statement about the area is incorrect because we can find the area of the shaded region from the given measurements.

• In attached file we can see there are two figures:
• one given in the question and other is the modified for finding the answer.
• From second figure we say,

       The area of shaded region= Area if rectangle ABCD-(Area of       rectangle P+Area of rectangle Q+Area of rectangle R)             ...(I)

• we know that area of rectangle is given by legnth x breadth
• From (I), The area of shaded region

                                 = 30x60 - [(10x10)+(10x15)+(10x15)]

                                 =1800 - (100+150+150)

                                 =1800 - 400

                                 =1400 unit square.

So Area of reactagle is 1400 unit square.

Hence,the student’s statement about area is incorrect.

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a6b73824ba8cdc92940cabee08f309c2.pdf