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3 years ago

HELP IF U ACTUALLY KNOW THE ANSWER QUICK PLEASE

Mathematics

1 answer:

irga5000 [103]3 years ago

4 0

Answer: D

Step-by-step explanation:

16+18+19+21+21=95

95/5 is 19
95+37=132

132/6=22

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A rhombus ha a perimeter of 80 meters and the length of one diagonal is 24 meters.find the area of the rhombus

Triss [41]

Answer:

The area of the rhombus is $A=384\ m^2$

Step-by-step explanation:

we know that

A rhombus have all four sides congruent.

The diagonals bisect each other

The diagonals are perpendicular

see the attached figure to better understand the problem

step 1

Find the length side of the rhombus

Divide the perimeter by 4

Let

b ---> the length side of rhombus

$b=\frac{P}{4}$

$b=\frac{80}{4}=20\ m$

step 2

Find the length of the other diagonal BD

In the right triangle AOB

Let

AC =24\ m ----> the length of one diagonal

BD ---> the length of the other diagonal

we have

$AO=24/2=12\ m\\AB=20\ m$

$AB^2=AO^2+OB^2$

substitute the values

$20^2=12^2+OB^2$

$OB^2=400-144\\OB=16\ m$

$BD=2(OB)=2(16)=32\ m$

step 3

Find the area of the rhombus

The area of the rhombus is equal to

$A=\frac{1}{2}(AC)(BD)$

substitute

$A=\frac{1}{2}(24)(32)=384\ m^2$

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