The answer is: " 2291 units " .
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Explanation:
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Formula for "Area of a trapezoid" :
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Area = (1/2) * (base length 1 + base length 2) * height;
or: A = (1/2) * (b + B) * h.
We are missing the value for "b" one of the base lengths.
However, since: A = 68² (given) ; B (the other base length) = 21; and the perpendicular height, "h" = 4 ; we can plug this values into the formula, and solve for "b" ;
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A = (1/2) * (b + B) * h ; ↔ 68² = (1/2) * (b + 21) * 4 ;
↔ <span>4624 = 2 (b + 21) = 2b + 42 ;
</span> ↔ <span>4624 = 2b + 42 ;
</span> ↔ <span>2b + 42 = 4624 ;
Subtract "42" from each side of the equation:
2b + 42 - 42 = 4624 - 42 ;
to get: 2b = 4582 ;
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Now, divide each side of the equation by: "2" ; to isolate "b" on one side of the equation; and to solve for "b" ;
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2b / 2 = 4582 / 2 ;
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to get: b = 2291 units.
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Answer:
It is 42=x
Step-by-step explanation:
bruh
Undefined slope
slope=rise/run
if run=0, we get an undefined slope
means that it does go left or right, only up and down
the equaiton will be x=something
x intercept is -7 so the equation is x=-7
1. First, let us define the width of the rectangle as w and the length as l.
2. Now, given that the length of the rectangle is 6 in. more than the width, we can write this out as:
l = w + 6
3. The formula for the perimeter of a rectangle is P = 2w + 2l. We know that the perimeter of the rectangle in the problem is 24 in. so we can rewrite this as:
24 = 2w + 2l
4. Given that we know that l = w + 6, we can substitute this into the formula for the perimeter above so that we will have only one variable to solve for. Thus:
24 = 2w + 2l
if l = w + 6, then: 24 = 2w + 2(w + 6)
24 = 2w + 2w + 12 (Expand 2(w + 6) )
24 = 4w + 12
12 = 4w (Subtract 12 from each side)
w = 12/4 (Divide each side by 4)
w = 3 in.
5. Now that we know that the width is 3 in., we can substitute this into our formula for length that we found in 2. :
l = w + 6
l = 3 + 6
l = 9 in.
6. Therefor the rectangle has a width of 3 in. and a length of 9 in.
