The diagram below represents the measurements of Jennie’s yard. The yard’s width is x feet shorter than its length. If the area
of the yard is 540 square feet, how many feet shorter than the length is the width?
2 answers:
Answer: The width is 12 feet shorter than the length.
Step-by-step explanation:
The area of a rectangle can be calculated with this formula:
Where "l" is the lenght and "w" is the width of the rectangle.
We know that lenght of Jennie's yard is 30 feet, the width is and the area is 540 square feet. Then:
Substitute these values into the formula and then solve for "x":
Therefore, the width is 12 feet shorter than the length.
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Answer:
h = 1.4
c = 2.8
Step-by-step explanation:
For each problem, remember the special triangle side ratios then use a proportion. To solve, isolate the variable.
For the triangle with the variable h:
Since two of the angles are 45, this is an isosceles triangle. All isosceles triangles have two equal sides that are not the hypotenuse.
In a right isosceles triangle, the ratio for regular side to hypotenuse is 1 to √2.
h = √2
h ≈ 1.4
For the triangle with the variable c:
The is an equilateral triangle cut in half because the angles are 30 and 60.
The side ratio of altitude to hypotenuse is √3 to 2.
c = 2√2
c ≈ 2.8
Answer:
144
Step-by-step explanation:
The equation to find c is:
So put -24 into b:
Which simplifies to:
144
So if you want to test this:
x^2 - 24x + 144
is
(x-12)^2