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soldier1979 [14.2K]
3 years ago
11

Draw 2 line segments, each 4 cm in length, intersecting at their midpoints. Connect each endpoint to each adjacent endpoint to f

orm a quadrilateral. What is the maximum number of square centimeters possible in the area of the quadrilateral?
Mathematics
1 answer:
Mice21 [21]3 years ago
4 0

Answer:

8

Step-by-step explanation:

The maximum area will be a square. Everything else will have a height less than one of the sides of the square.

Use Pythagoras to find the length of the side of the square.

s^2 = 2^2 + 2^2

s^2 = 8

s = 2sqrt(2)

s^2 = 8

the square will have 8 cm^2

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Read 2 more answers
A rectangular yoga mat has a perimeter of 179 inches. The width of the mat is eight less than half the length. Find the width, i
lianna [129]

Answer:

The width is 24.5in

Step-by-step explanation:

The perimeter of the rectangular yoga mat can be found using the formula;

P=2l+2w.

\Rightarrow 179=2l+2w...(1).

It was given that the width of the mat is eight less than half the length.

w=\frac{1}{2}l-8...(2)

We put equation (2) into equation (1) to get;

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