Question

A А
Fig.
18. The side of a rhombus is 6.5 cm and its altitude is 4 cm. Find its area.​

Answer 1

Answer:

As we know that rhombus is a parallelogram and area of parallelogram is equal to the product of its base and height.

∴ Area of rhombus =base×height

Given:-

Base of rhombus = Side of rhombus =6.5cm

Height of rhombus = Altitude of rhombus =4cm

∴ Are of the given rhombus =6.5×4=26cm square

Hence the area of the given rhomus is 26 sq. cm.

Answer 2

$\LARGE\sf{{Given :-}}$

$\sf{{Side \ of \ a \ rhombus \ = \ 6.5 \ cm}}$

$\sf{{Altitude \ of \ the \ rhombus \ = \ 4 \ cm}}$

$\LARGE \sf{{To \ Find \ :-}}$

• $\sf{{Area \ of \ the \ rhombus}}$

$\LARGE \sf{{Solution \ :-}}$

$\sf{{Side \ of \ a \ rhombus \ = \ Base \ of \ a \ rhombus \ = \ 6.5 \ cm}}$

$\sf{{Altitude \ of \ the \ rhombus \ = \ Height \ of \ the \ rhombus \ = \ 4 \ cm}}$

$\sf{{As \ we \ know,}}$

$\sf{{Area \ of \ rhombus \ = \ Base\times Height}}$

$\sf{{So,}}$

$\sf{{Area \ of \ rhombus \ = \ 6.5\times 4}}$

$\sf{{= 26.0 cm^{2}}}$

$\sf{{= 26 cm^{2}}}$

$\LARGE\sf{{Required \ Answer \ :-}}$

$\sf{{Area \ of \ rhombus \ = \ 26 cm^{2}}}$

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✯ Some Formulas for Rhombus ✯

• Perimeter of a Rhombus = 4(Side)

• Area of Rhombus = Base × Height

Or

Area of Rhombus = ${\frac{1}{2}}$ × Diag.1 × Diag.2

• Side of a Rhombus

= ${\frac{\sqrt {(Diag.1)^{2}+(Diag.2)^{2}}}{2}}$

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