A room has 2 sections as shown in the picture below. Which expression uses the Distributive Property to find the total area of the room?
(A rectangle is divided into two smaller rectangles by a vertical line. The vertical height of the rectangles is 14. To the left, the larger of the two smaller rectangles has a width of 8. To the right, the smaller of the two rectangles has a width of 4.)
A.14 + (8 × 4)
B.14 × (8 + 4)
C.14 × 8 x 4(My answer)
D.14 × 8 × 14 × 4
Stop Wynell flower I will punch you if not or right ha.
Wynell Fowler, this is a cite for mostly that, if you don't like it you don't have to go on this cite you know that right?
i will thank you Damon if I get it right.
To find the total area of the room using the Distributive Property, you need to add the areas of the two smaller rectangles.
The larger rectangle on the left has a width of 8 and a height of 14. Therefore, its area is 8 × 14 = 112.
The smaller rectangle on the right has a width of 4 and a height of 14. Its area is 4 × 14 = 56.
To find the total area of the room, add the areas of the two smaller rectangles together: 112 + 56 = 168.
So the correct expression using the Distributive Property to find the total area of the room is:
A. 14 + (8 × 4)
and you could always check it because from the start when you DREW the RECTANGLE you knew
area = 14*12
well, almost
look the area of the big one is 14*8
and the area of the little one is 14*4
so
total area = 14*8 + 14*4
NOW what does distributive property say?
a*b + a*c = a * (b+c)