Question

A side of rhombus is of length 8cm and its distance from the opposite side is 10 cm Its area will be __​

Answer 1

Answer:

40cm²

Step-by-step explanation:

it's area is 40cm²

I hope it helps you

Answer 2

Question:

A side of rhombus is of length 8cm and its distance from the opposite side is 10 cm Its area will be __​

Given:

• breadth = 10cm

• height = 8cm

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$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\put(0,0){\line(1,3){1.5}}\put(0,0){\line(1,0){5}}\put(5,0){\line(1,3){1.5}}\put(1.5,4.5){\line(1,0){5}}\qbezier(1.56,4.5)(1.56,4.5)(5,0)\qbezier(6.45,4.5)(6.45,4.5)(0,0)\put(-0.5,-0.5){\sf B}\put(1,4.8){\sf A}\put(5.2,-0.5){\sf C}\put(6.7,4.75){\sf D}\put(3,1.6){\sf O}\end{picture}$

To Find:

Area of Rhombus

Formula Used:

• Area of triangle = $\frac{1}{2}\times b \times h$

• Area of rhombus = $2\times \textsf{(area of triangle})$

Solution:

Since the diagonals of rhombus are perpendicular bisector of each other, the diagonal cuts it into 2 congruent triangles.

Area of triangle:

Area of triangle = $\frac{1}{2}\times b \times h$

b = 10cm

h = 8cm

$\frac{1}{2}\times b \times h\\\\\frac{1}{2}\times 10 \times 8\\\\ 10 \times 4\\\\40cm$

Area of Rhombus :

Area of rhombus = $2\times \textsf{(area of triangle})$

$2\times40cm\\\\80cm$

Area of the rhombus = 80 cms