The lengths of the diagonals of a rhombus are 2x and 8x. What expressions give the perimeter and area of the rhombus?

Question

The lengths of the diagonals of a rhombus are 2x and 8x. What expressions give the perimeter and area of the rhombus?

The lengths of the diagonals of a rhombus are 2x and 8x. What expressions give the perimeter and area of the rhombus?

A. P=4x;A=8x

B. P=4 √17 ; A=8x²

C.P=(4x √17)² ; A=16x²

D.P=4x √17 ; ;A=8x

Answer 1

lengths of the diagonals of rhombus are 2x and 8x

Area = 8x^2

Perimeter = 4sqr17(x)

Answer is D

a rhombus is a 4 sided polygon where all 4 sides are equal

the diagonals divide the rhombus into 4 equal areas, each a right triangle with each area = 4x(x) = 4x^2/2 = 2x^2. All 4 sum to an area of 8x^2

1/4 the perimeter = sqr((4x^2)+x^2) = sqr17x^2 = sqr17(x). Multiply by 4 to get the perimeter = (4sqr17)x