Answer:
Width=6 Length=36
Step-by-step explanation:
The stage is rectangular since the length is not equal to width.
We use the formula (Width × Length) to obtain the area of any rectangle.
But the Length is 6 times the Width, therefore we equate the formula for the area of stage as
Width × 6Width = 216
we get Width as 6 and 6width which is the length as 36
Answer:
<u>The length of the rectangle is 14.5√6/29 or 6.6 meters and the width is 10√6/29 or 4.55 meters.</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Area of a rectangle = 30 square meters
2. Find the length and width if the length is 1.45 times the width.
Width of the rectangle = x
Length of the rectangle = 1.45x
Now substituting in the formula of the area of a rectangle, this way:
30 = x * 1.45x
30 = 1.45x²
x² = 30/1.45
x = √30/1.45
x = 10 √6/29 or 4.55 (Rounding to two decimal places)
1.45 x = 14.5 √6/29 or 6.6
<u>The length of the rectangle is 14.5√6/29 or 6.6 meters and the width is 10√6/29 or 4.55 meters.</u>
X = 3y - 6....so sub 3y - 6 in for x in the other equation
2(3y - 6) - 4y = 8
6y - 12 - 4y = 8
2y = 8 + 12
2y = 20
y = 20/2
y = 10
x = 3y - 6
x = 3(10) - 6
x = 30 - 6
x = 24
solution is (24,10)
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