A jar holds 3/4 gallons of juice when it is 7/8 full. Which statement best describes the quotient of 3/4 divided 7/8 ?
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Answer:
The first side of the rectangle = 3 ft
The other side = 8 ft
Step-by-step explanation:
Let the one side of the rectangle = k feet
So, the other side of the rectangle = 4 ( First side) -4 = (4 k -4 ) ft
Now, the area of the given same rectangle = 24 sq ft
Area of the RECTANGLE = LENGTH x WIDTH
⇒ Area = k x ( 4k - 4)
or, k ( 4k - 4) = 24
or, k(k-3) +2(k-3) = 0
or, (k-3)(k+2) = 0
or, k = 3, or k = -2
As k = Length of the rectangle, so CAN NOT BE NEGATIVE.
⇒ k ≠ -2 , ⇒ k = 3 ft
So, the first side of the rectangle = k = 3 ft
The other side = 4 k - 4 = 4 (3) - 4 = 12 - 4 = 8 ft