Explain how the distributive property helps us multiply the following polynomials and why and how the final products differ: (a
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First, we need to find the area of the two rectangles in this picture. We know that area = l*w.
So for the larger rectangle, we know the l = 100 m, and the w = 60 m. Let us find the area:
So the larger rectangle area is 6000 m.
The smaller rectangle has dimensions that are 2 m less on every side. So we can recalculate these dimensions as l = 96 m and w = 56 m.
Let's find the area of the smaller rectangle:
So we know that the area of the smaller rectangle is 5,376 m.
The area of the jogging path is going to be the difference between these two rectangles. Let us solve:
So now we know that the area of the jogging path is
.
So for the larger rectangle, we know the l = 100 m, and the w = 60 m. Let us find the area:
So the larger rectangle area is 6000 m.
The smaller rectangle has dimensions that are 2 m less on every side. So we can recalculate these dimensions as l = 96 m and w = 56 m.
Let's find the area of the smaller rectangle:
So we know that the area of the smaller rectangle is 5,376 m.
The area of the jogging path is going to be the difference between these two rectangles. Let us solve:
So now we know that the area of the jogging path is