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Aleonysh [2.5K]

3 years ago

5

The shaded region on the grid shows the area that underwater divers have already explored in looking for sunken treasure.

1 answer:

Whitepunk [10]3 years ago

7 0

Answer:

$(4,3)$

Step-by-step explanation:

Given

See attachment for complete question

Required

Identify the unexplored point

Since the shaded region has been explored, an unexplored point will be located in the white region.

The given points are:

$(-5,2)\ (0,0)\ (4,3)\ (-2,4)$

Plot each of the above points on the grid (See attachment 2)

In attachment 2, only (4,3) lies on the white region.

<em>Hence, (4,3) has not been explored</em>

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The area of rectangle BEFD is 180 square units.

Step-by-step explanation:

After checking the figure given, we have the following information:

$AD = 15$ , $AB = 12$ , $BC = 15$ , $CD = 12$

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By (7) in (8):

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$EC = \frac{75\sqrt{41}}{41}$

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$CF = EF - EC$

$CF = 3\sqrt{41}-\frac{75\sqrt{41}}{41}$

$CF = \frac{48\sqrt{41}}{41}$

And the length of the line segment $DF$ is determined by Pythagorean Theorem:

$FD = \sqrt{CD^{2}-CF^{2}}$

$FD = \sqrt{12^{2}-\left(\frac{48\sqrt{41}}{41} \right)^{2}}$

$FD = \frac{60\sqrt{41}}{41}$

And the area of the rectangle is determined by the following formula:

$A = FD\cdot EF$

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