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JordanFlores2554
13.07.2019 •
Mathematics
Suppose the carnival director asks you to create a game board that is 1,120 square inches. find the dimensions that would meet this request by setting the area equation equal to 1,120, solving for x, and substituting x into the expressions for the length and width.
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Ответ:
length x width = (56 ft) x (20 ft) = 1120 sq.ft.
Ответ:
Factor of 1,120 are
=2 × 2 × 2 × 2 × 2 ×5 × 7
So, we have to find dimensions of Length and Breadth , such that area of game board is 1,120 square inches.
There are many possible dimensions.
We will find the dimension of card board in terms of natural numbers such that difference between Length and breadth is Least.
One of the Possible Dimension can be
Length =7 × 5=35 inches
Breadth=2×2×2×2×2=32 inches
Other Possible dimension can be
Length=5×2×2×2=40
Breadth=7×2×2=28
So, selecting those dimension in which difference between Length and Breadth is Least
Length =35 inches
Breadth=32 inch
Expressing it in terms of , x
→Let ,Breadth =x inches
→Length =(x+3) inches
⇒Area of Square board which is in the shape of rectangle =Length × Breadth
→ 1120=x*(x+3)
Using Distributive property
→x²+3x=1120
→x²+3x-1120=0
Ответ:
Today at the bank an old lady asked me to check her balance. So I pushed her over hehehehehe lol
Step-by-step explanation: