Question

I need help on this can someone answer the questions on the picture

ON THE PICTURE THERE ARE THREE QUESTIONS ON THE PICTURE
LOOK AT THE PICTURE

Answer 1

height: √51.2 units

base: √80 units

area 64 units²

Step-by-step explanation:

a) height: The length AP is √(3.2² +6.4²) = √51.2 units.

b) base length: The length CD is √(8²+4²) = √80 units.

c) The area is the product of the base and height:

A = bh = √(80·51.2) = √4096 = 64 . . . . square units

Answer 2

• height: √51.2 units
• base: √80 units
• area 64 units²

Explanation:

a) height: The length AP is √(3.2² +6.4²) = √51.2 units.

b) base length: The length CD is √(8²+4²) = √80 units.

c) The area is the product of the base and height:

A = bh = √(80·51.2) = √4096 = 64 . . . . square units.

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Comment on this problem

The area of this rhombus is much more easily found using the diagonals. The area of a rhombus is half the product of the lengths of the diagonals. Since those are aligned with the axes, their lengths are easily found as ...

AC = 16

BD = 8

Area = (1/2)AC·BD = (1/2)(16)(8) = 64 . . . square units

Obviously, the problem is not about the area of the rhombus. Rather, it is about finding the lengths of line segments from their coordinates.