JasslynL790095 JasslynL790095
  • 03-11-2022
  • Mathematics
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In rhombus ABCD below, AE =6 cm and BE =7 cm.Find the area of the rhombus.Be sure to include the correct unit in your answer.

In rhombus ABCD below AE 6 cm and BE 7 cmFind the area of the rhombusBe sure to include the correct unit in your answer class=

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AzirahI756942 AzirahI756942
  • 03-11-2022

Solution:

Given the rhombus;

[tex]AE=6cm,BE=7cm[/tex][tex]\begin{gathered} AC\text{ and }BD\text{ are diagonals of the rhombus. Thus;} \\ \\ AC=2(AE)=2(6cm)=12cm \\ \\ BD=2(BE)=2(7cm)=14cm \end{gathered}[/tex]

Then, the area, A, of a rhombus is;

[tex]\begin{gathered} A=\frac{|AC||BD|}{2}cm^2 \\ \\ A=\frac{12\times14}{2}cm^2 \\ \\ A=84cm^2 \end{gathered}[/tex]

ANSWER:

[tex]Area=84cm^2[/tex]

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