Question

A rhombus has a pereter of 100m and a diagonal 30m long . Find the area of the rhombus​

Answer 1

Rhombus

Solve for area

A=600m²

p Diagonal

30

m

P Perimeter

100

m

Using the formulas

A=pq

2

P=4a

a=p2+q2

2

Solving forA

A=1

4pP2﹣4p2=1

4·30·1002﹣4·302=600m²

2

the answer is =600

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Answer 2

Answer:

Perimeter of rhombus=100m

□D1=30m

To find:

○Area of rhombus=?

perimterofrhombus=100m

=)4×a=100

=)a= 100/4

=)a=25m

inaright△ofrhombus

h 2 =p2 +b2

=)25^2 =15^2

+b^2

=)625−225=b2

=)b= √400

=)b=20m

d2=2×b=2×20=40m

areaofrhombus= 1/2×d1×d2

=) 1/2 ×30×40

=)15×40

=)600m2

Hope this is helpful for you.