Question

The area of the Rhombus is
28 square meter. If its perimeter is 28 meter find it's altitude​

Answer 1

Given:-

• Area of the rhombus is 28 m².
• Perimeter of the rhombus is 28 m.

⠀

To find:-

• Altitude of the rhombus.

⠀

Solution:-

We know that,

• all sides of a rhombus are equal.

⠀

→ 4a = 28

→ a = 28/4

→ a = 7 m

⠀

Formula used,

★ Area of rhombus = base × height

⠀

→ 28 = 7 × EC

→ EC = 28/7 = 4 m

→ EC = altitude = 4 m

⠀

Hence,

• the altitude of the rhombus is 4m.

Answer 2

Answer:

• The altitude of the rhombus is 4 metres.

Step-by-step explanation:

$\normalsize\underline{\bf{Given:}}$

$\:\:\:\:\normalsize\bullet{\sf{Area\:of\:a\:rhombus=28\:{m}^{2}}}$

$\:\:\:\:\normalsize\bullet{\sf{And\:its\: perimeter=28\:m}}$

‎

$\normalsize\underline{\bf{Need\:to\:find:}}$

$\:\:\:\:\normalsize\bullet{\sf{The\: altitude\:(height)\: of\: the\:rhombus}}$

‎

$\normalsize\underline{\bf{Solution:}}$

Step 1:

• First, we should find the measure of its side. As we know, all sides of a rhombus are equal. We can find it by substituting the given measures in the formula, that is used to find the perimeter of rhombus.

• $\small\underline{\boxed{\sf{\red{{Perimeter}_{(Rhombus)}= 4\times side\:units}}}}$

$\:\:\:\:\:\:\:\:\:\:\large\implies{\sf{28= 4\times side}}$

$\:\:\:\:\:\:\:\:\:\:\large\implies{\sf{\frac{28}{4}=Side}}$

$\:\:\:\:\:\:\:\:\:\:\normalsize\implies{\underline{\underline{\bf{\blue{7\:m= Side}}}}}$

Step 2:

• We've found the measure of its side. So, to find the altitude of the rhombus, we should substitute the measures in the formula, that is used to find the area of rhombus.

• $\small\underline{\boxed{\sf{\red{{Area}_{(Rhombus)}= Base\times Height\:sq.units}}}}$

• And here, the measure of base is equal to the measure of side. And height = altitude.

$\:\:\:\:\:\:\:\:\:\:\large\implies{\sf{28= 7\times Height}}$

$\:\:\:\:\:\:\:\:\:\:\large\implies{\sf{\frac{28}{7}=Height}}$

$\:\:\:\:\:\:\:\:\:\:\normalsize\implies{\underline{\underline{\bf{\blue{4\:m= Height}}}}}$

‎

$\normalsize\underline{\bf{Final\: answer:}}$

$\normalsize\therefore\underline{\boxed{\tt{\pink{The\: altitude\:of\:the\:rhombus\:is\:\:4\:m.}}}}$

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