Blake and his brother are participating in their school’s food drive. Blake has collected 6 1/3 pounds of food and his brother h
as collected 5 3/4 pounds of food. Their goal is to collect 14 1/2 pounds of food by the end of the month. How many more pounds of food do they still need to collect to reach their goal? Answers shown below. (Ignore the one I chose, I randomly guessed)
1 answer:
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The area of polygon MNOPQR = Area of a rectangle that is 15 square units + Area of a rectangle that is 2 square units.
In the given polygon MNOPQR, side MN is parallel to side RQ and the side MR is parallel to side PQ
We will draw a perpendicular line from point O on the side RQ, which will intersect RQ at point S. So, we can now divide the whole polygon into two different rectangles MNSR and OPQS with the areas as A₁ and A₂ respectively.
In rectangle MNSR, length(MN) = 5 units and width (MR) = 3 units
According to the formula for Area of rectangle,
A₁ = (length)×(width)
A₁ = (5 units)×(3 units)
A₁ = 15 square units
Now in rectangle MNSR, side MN= side RS and side MR = side NS,
so RS= 5 units and NS= 3 units
That means, SQ= RQ- RS = 7-5 = 2 units
and OS= NS - NO = 3- 2 = 1 unit
In rectangle OPQS, we have length(SQ) = 2 units and width(OS) = 1 unit
So, A₂ = (length)×(width)
A₂ = (2 units)×(1 unit)
A₂ = 2 square units
So, the area of polygon MNOPQR = (Area of a rectangle that is 15 square units + Area of a rectangle that is 2 square units)
