Question

the area of a rhombus is 60m². if its perimeter is 40m,find its height or altitude , pls explain step by step.​

Answer 1

Answer:

h= 6 m

Step-by-step explanation:

Refer photo

Hope it helps

Answer 2

$\bf \: \underline{Given}:$ ↴

$\sf \: The \: area \: of \: the \: rhombus \: = \: 60 \: m^{2}$

$\sf \: Perimeter \: of \: the \: rhombus = 40 \: m$

$\bf \: \underline{To \: find} :$ ↴

$\sf \: We \: have \: to \: find \: the \: \underline{Height \: or \: Altitude}.$

$\bf \: \red{ \star }\: \underline{ So, \: Let's \: Start }\: \red{ \star}$

$\sf \: Here \: the \: Perimeter \: is \: already \: given..$

$\sf \: From \: the \: perimeter, \: we \: will \: find \: the \: sides \: of \: the \: rhombus.$

$\boxed{ \pink{ \sf \: Perimeter \: of \: the \: rhombus = 4 \times Side}}$

$\sf \: \underline{Putting \: the \: values}$

$\sf \longrightarrow \: 40 = 4 \times Side$

$\sf \longrightarrow \: \dfrac{40}{4} \: = \: Side$

$\sf \longrightarrow \: \red {Side \: = \: 10 \: m }$

$\sf \: \underline{ Now, \: we \: will \: calculate \: height}.$

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

$\sf \: \underline{Putting \: the \: values}$

$\longrightarrow \: \sf \: 60 \: = 10 \times Height$

$\longrightarrow \: \sf \: \dfrac{60}{10} \: = \: Height$

$\longrightarrow \: \sf \: \red{ Height = 6 \: m }$

$\pink{ \star} \: \underline{ \boxed{ \purple{\sf \: Hence \: the \: Altitude \: of \: the \: Rhombus = 6 \:m}}} \: \pink{ \star}$