Respuesta :

Answer:

110.5 units²

Step-by-step explanation:

The area (A) of a rhombus is calculated as

A = [tex]\frac{1}{2}[/tex] product of diagonals, that is

A = 0. 5 × MK × JL = 0.5 × 13 × 17 = 110.5

The area of the rhombus will be 110.5 square units.

How to calculate the area of the rhombus?

The area of the rhombus can be calculated by half of the product of its two diagonals.

Here given,

JKLM is a rhombus.

The length of its diagonals will be MK=13

JL=17

The diagonal MK and JL intersect each other by 90° at point O.

Now the rhombus is divided by 4 right-angled triangle,

Area of the rhombus will be 4 times of the right-angled triangle ΔMJO

Area of the rhombus= 4*Area of right-angled triangle ΔMJO

=4*(1/2)*MO*JO

= 4*(1/2)*(MK/2)(JL/2)

=(1/2)*MK*JL

=(1/2)*the product of its two diagonals

=(1/2)*13*17

=110.5 Square unit

Therefore the area of the rhombus will be 110.5 square units.

Learn more about rhombus

here: https://brainly.com/question/26154016

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