Question

CAN SOMEONE PLEASE HELP ME!!!

Answer 1

A = 480 mm²

Explanation:

the area (A) of a rhombus is calculated as

A =
`(1)/(2)` product of diagonals

The diagonals are perpendicular bisectors of each other , so

Δ XVW is a right triangle

using Pythagoras' identity in the right triangle , then

XV² + WV² = WX²

XV² + 24² = 26²

XV² + 576 = 676 ( subtract 576 from both sides )

XV² = 100 ( take square root of both sides )

XV =
`√(100)` = 10

then

XZ = 2 × XV = 2 × 10 = 20

and

WY = 2 × WV = 2 × 24 = 48

A =
`(1)/(2)` × XZ × WY =
`(1)/(2)` × 20 × 48 = 10 × 48 = 480 mm²