The diagonals of a quadrilateral are perpendicular bisectors of each other. If the length of one diagonal is 3 cm and the area of the quadrilateral is 180 cm², find the length (in cm) of the other diagonal.​

Correct option is B

Given:

One diagonal length = 3 cm

Area of the quadrilateral = 180 cm²

Formula Used:

Area = $$\frac{1}{2} \times \text{diagonal 1} \times \text{diagonal 2}$$​

Solution:

$$180 = \frac{1}{2} \times 3 \times d_2\\ \ \\180 = \frac{3}{2} \times d_2\\ \ \\d_2 = \frac{180 \times 2}{3} = \frac{360}{3} = 120$$​