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Gellai0424go
Answered

The area of a rhombus varies jointly as the lengths of the two diagonals. If a
rhombus whose diagonals are 10cm and 8cm long has an area of 40cm, find the
area of the rhombus whose diagonals are 11cm and 15cm.
solution po​

Sagot :

Pepgee82go

Answer:

area = 82.5 cm.

Step-by-step explanation:

let:

A = Area,

b = diagonal 1,

c = diagonal 2,

k = constant

formula of joint variation:

y = kxz

so, A = kbc

To find the area, find the constant first by subsituting the given values.

40 = k (10)(8)

^ ^ ^

A b c

= 40 = 80k

= 40/80 = k

= k = ½

Then, use the constant k to find the Area.

A = ½ (11)(15)

= ½(165)

A = 82.5 cm.

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