Question

A rhombus has an area of 108 m² . It's first diagonal measure 12 m. Find other Diagonal.

Answer 1

Answer:

18m

Step-by-step explanation:

Area=1/2×d1×d2=108m²

=>1/2×12m×d2=108m²

=>d2=18m

Hence, the other diagonal is 18m.

Answer 2

Given :-

→ Area of a Rhombus = 108 m²

→ Measure of First Diagonal = 12 m

To Find :-

→ Measure of the other diagonal

Solution :-

→ Let the other diagonal be x  

$\underline{\bf{\dag} \:\mathfrak{As\;we\;know\: that\: :}}$

$\star\: \boxed{\sf{\blue{Area\;of\;Rhombus\;=\frac{1}{2} \times 1^{st} Diagonal \times 2^{nd}Diagonal }}}$

→ Let's find out the Other Diagonal by putting the values in this formula !

$\sf \implies 108 = \dfrac{1}{2} \times 12 \times x$

$\sf \implies x= \dfrac{108}{6}$

$\sf \implies x = 18$

∴ Measure of the other diagonal is 18 m