6 members of the Benton family are going to their school's Community Day. They have a coupon for $4.50 off their total. If they
1 answer:
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ANSWER :
1. 2ab + c^2
2. (a + b)^2 or (a^2 + 2ab + b^2)
3. 2ab
EXPLANATION :
Recall that the area of a triangle is 1/2 base x height.
and the area of a square is the square of its side.
From the problem, we have 4 congruent triangles.
The area of four triangles is :
The area of the square is :
Then the total area will be :
It is equivalent to the area of the whole square in which the side is (a + b)
So that's :
Since both expressions are equal, we can equate them :