Question

the area of a rhombus is 144 CM square and one of its diagonals is double the other. What is the length of the longer diagonal

Answer 1

Given :-

Area of rhombus = 144 cm square

One of its diagonal is double the other

let diagonal 1 (d1) be 'x '

(according to the question )

One of the diagonal is double than other

So,

diagonal 2(d2) = 2x

$\bf area \: of \: rhombus = \frac{1}{2} \times d1 \times \: d 2 \\ \\ = 144 = \frac{1}{2} \times x \times 2x \\ \\ = 144 = \frac{ {2x}^{2} }{2} \\ \\ = 144 = {x}^{2} \\ \\ = \sqrt{144} = x \\ \\ = 12 = x$

diagonal 1 = x = 12 cm

diagonal 2 = 2x = 2 × 12 = 24 cm

CHECK

area of rhombus

$\bf = \frac{1}{2} \times d1 \times d2 \\ \\ = \frac{1}{2} \times 12 \times 24 \\ \\ = 6 \times 24 \\ \\ = 144 {cm}^{2}$

Answer 2

Answer:

the answer will be 24cm