The area of a Rhombus is 119 sqm and its perimeter is 68m.Its altitude

1.	The area of a Rhombus is 119 sqm and its perimeter is 68m.Its altitude will be1.) 7m2.) 9m3.) 11m4.) 17m
Answer» Required Answer - 7m Given - AREA of rhombus = 119m² Perimeter of rhombus = 68m To find - It's altitude Solution - Since, rhombus has 4 EQUAL sides, therefore it's perimeter is 4a, where a = side. According to question - → 4 × side = 68m → Side = 68/4 → Side = 17m $\therefore$ Side of rhombus is 17m Now, It is given, area of rhombus i.e 119m². Area of rhombus = BASE × Altitude 119 = 17 × Altitude Altitude = 119/17 Altitude = 7m $\therefore$ The altitude of the rhombus is 7m Verification - i) Perimeter of rhombus = 4 × a Perimeter of rhombus = 4 × 17 Perimeter of rhombus = 86m ii) Area of rhombus = Base × Altitude Area of rhombus = 17 × 7 Area of rhombus = 119m² LHS = RHS Hence, proved. _______________________________________

The area of a Rhombus is 119 sqm and its perimeter is 68m.Its altitude will be1.) 7m2.) 9m3.) 11m4.) 17m

Answer»

Required Answer -

Given -

To find -

Solution -

Since, rhombus has 4 EQUAL sides, therefore it's perimeter is 4a, where a = side.

According to question -

→ 4 × side = 68m

→ Side = 68/4

→ Side = 17m

$\therefore$ Side of rhombus is 17m

Now,

It is given, area of rhombus i.e 119m².

Area of rhombus = BASE × Altitude

119 = 17 × Altitude

Altitude = 119/17

Altitude = 7m

$\therefore$ The altitude of the rhombus is 7m

Verification -

i) Perimeter of rhombus = 4 × a

Perimeter of rhombus = 4 × 17

Perimeter of rhombus = 86m

ii) Area of rhombus = Base × Altitude

Area of rhombus = 17 × 7

Area of rhombus = 119m²

LHS = RHS

Hence, proved.

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