Suppose length is x inches
Then length is x-4 inxhes
So area is x*(x-4) = x2 - 4x sq inches
Now,
x2 - 4x = 60
so x2 - 4x - 60 = 0
x2 - 10x + 6x - 60 = 0
x(x - 10) + 6(x - 10) = 0 ie (x - 10)*(x + 6) = 0
So x - 10 = 0 or x + 6 = 0
So x= 10 or x = -6
Since x is a length it must be > 0 so x = 10 inches.
yes
the area of a rectangleis 100 square inches. The perimeter of the rectangle is 40 inches. A second rectangle has the same area but a different perimeter. Is the secind rectangle a square? Explain why or why not.
this is not a square, but a rectangle, first off. second, the rectangle's area is 2475 square feet.
inches is a length in one direction; square inches is an area in two directions; you need to know the second length and shape to find square inches
Name the length L & the width W ,then:L x W = 60L = 4 + WSolve the system by substituting the value of L from the second equation in the first one.( 4 + W )X W = 604W + W^2 = 60W^2 + 4W - 60 = 0W = 6 accepted& W = -10 rejectedNow,solve for L :L = 4 + 6 = 10So, the length is 10 feet & the width is 6 feet
yes
the area of a rectangleis 100 square inches. The perimeter of the rectangle is 40 inches. A second rectangle has the same area but a different perimeter. Is the secind rectangle a square? Explain why or why not.
20 inches
Since the perimeter of a rectangle is 2 * length + 2 * width, 2l + 2w = 36 And since the length is twice the width, l = 2w Thus, you substitute 2w into the l in the first equation to get, 2(2w) + 2w = 36 4w + 2w = 36 6w = 36 w = 6 Plug the value of w into the second equation, l = 2(6) This will give you a length of 12. Since the area of rectangle is l * w, we just substitute the values in for length and width, l * w = 6 * 12 = 72 And that would be in square inches of course.
It depends on whether the side length of 3 is the smaller or the larger of the two sides of the second rectangle. that is, is the 3 related to the 8 or the 17.
The second one.
this is not a square, but a rectangle, first off. second, the rectangle's area is 2475 square feet.
inches is a length in one direction; square inches is an area in two directions; you need to know the second length and shape to find square inches
Name the length L & the width W ,then:L x W = 60L = 4 + WSolve the system by substituting the value of L from the second equation in the first one.( 4 + W )X W = 604W + W^2 = 60W^2 + 4W - 60 = 0W = 6 accepted& W = -10 rejectedNow,solve for L :L = 4 + 6 = 10So, the length is 10 feet & the width is 6 feet
The Galapagos is the second smallest penguin species. This penguin is about 19 inches in length and weighs about 5 pounds. The smallest penguin is the blue penguin whose length is about 17 inches.
A pendulum whose period is precisely two seconds, one second for a swing forward and one second for a swing back, has a length of 0.994 m or 39.1 inches.
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