A backyard has an area of 64 square feet. What is the smallest possible perimeter of the backyard?
1 answer:
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Answer:
Step-by-step explanation:
Given : Marsha has budgeted no more than $3,000 on centerpieces for the tables
x denotes the number of Guest Tables Lily Arrangements
y denotes the number of Family Table Rose Arrangements
To Find: Which inequality represents all possible combinations of x, and y, that Marsha can buy for no more than $3,000?
Solution :
Since there are x number of Guest Tables Lily Arrangements.
And there are y number of Family Table Rose Arrangements
Since she cannot spend more than 3000 on centerpieces .
So, the inequality becomes:
Hence inequality represents all possible combinations of x and y that Marsha can buy for no more than $3,000:
Explanation:
a. The line joining the midpoints of the parallel bases is perpendicular to both of them. It is the line of symmetry for the trapezoid. This means the angles and sides on one side of that line of symmetry are congruent to the corresponding angles and sides on the other side of the line. The diagonals are the same length.
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b. We observe that adjacent pairs of points have the same x-coordinate, so are on vertical lines, which have undefined slope. KN is a segment of the line x=1; LM is a segment of the line x=3. If the trapezoid is isosceles, the midpoints of these segments will be on a horizontal line. The midpoint of KN is at y=(3-2)/2 = 1/2. The midpoint of LM is at y=(1+0)/2 = 1/2. These points are on the same horizontal line, so the trapezoid <em>is isosceles</em>.
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c. We observed in part (b) that the parallel sides are KN and LM. The coordinate difference between K and L is (1, 3) -(3, 1) = (-2, 2). That is, segment KL is the hypotenuse of an isosceles right triangle with side lengths 2, so the lengths of KL and MN are both 2√2.
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For part (c), we used the shortcut that the hypotenuse of an isosceles right triangle is √2 times the leg length.
