Question

The area of this rhombus is 140 square millimeters. One of its diagonals is 35 millimeters.

35 mm
What is the length of the missing diagonal, d?

Answer 1

d = 8 mm

Explanation:

You want the length of the other diagonal of a rhombus when one of them has length 35 mm and the area of the rhombus is 140 mm².

Area

The area of a rhombus is half the product of the lengths of the diagonals:

A = 1/2(d1)(d2)

140 mm² = 1/2(35 mm)(d)

(280 mm²)/(35 mm) = d = 8 mm

The length of the missing diagonal is 8 mm.