Question

Find the area of the rhombus if EL = 6.0 cm and KE = 8.5 cm.

Answer 1

102 cm²

Explanation:

The area (A) of a rhombus is calculated as

A = 0.5 × product of diagonals

The diagonals of a rhombus are perpendicular bisectors of each other, thus

KM = 2 × KE = 2 × 8.5 = 17

JL = 2 × EL = 2 × 6 = 12

Hence

A = 0.5 × 12 × 17 = 6 × 17 = 102 cm²

Answer 2

The answer is 102 cm²

Explanation:

Data

EL = 6.0 cm

KE = 8.5 cm

Formula

area = (d1) ( d2)/2

where :

d₁ is the length of a diagonal

d₂ is the length of the other diagonal

So we need to multiply each data by two because we only have half of the length needed.

Then:

d₁ = 6.0 x 2 = 12 cm

d₂ = 8.5 x 2 = 17 cm

Finally, we substitute the values in the formula

area = (12)(17)/2 = 102 cm²