Question

find the area of rhombus whose side is 17cm and height is 8cm​

Answer 1

GIVEN :-

• Base of rhombus = 17 cm
• Height of rhombus = 8 cm

TO FIND :-

• Area of rhombus.

SOLUTION :-

$\setlength{ \unitlength}{20} \begin{picture}(3,5) \put(2,2){ \line(1,0){4}}\put(2,2){ \line(1,1){3}}\put(6,2){ \line(1,1){3}} \put(5,5){ \line(1,0){4}} \put(2,1.5 ){ \tt D } \put(6, 1.5){ \tt c } \put(5,5.2){ \tt A } \put(9.3, 5){ \tt B } \put(4, 1.5){ \tt 17 \: cm } \put(8,1){\framebox{ \tt @prince5132 }}\put(5.2,4.5){\line(0,1){0.5}}\put(5.2,3.5){\line(0,1){0.5}}\put(5.2,2.8){\line(0,1){0.3}}\put(5.2,2){\line(0,1){0.5}}\put(4.8,2){\line(0,1){0.35}}\put(4.8,2.35){\line(1,0){0.4}}\put(5.25,3.5){ \bf 8 \: cm }\end{picture}$

▪︎Area of rhombus = 1/2 ( base × height )

= 1/2 ( 17 cm × 8 cm )

= 1/2 × 136 cm²

= 68 cm²

Hence Area of rhombus is 68 cm².

ADDITIONAL INFORMATION :-

▪︎Area of rhombus, when the diagonals are given = 1/2 (d1 × d2).

Example:- If the diagonals of the Rhombus are 4 cm and 2 cm , Find Area of rhombus.

▪︎Area of rhombus = 1/2 (d1 × d2)

= 1/2 ( 4 cm × 2 cm )

= 1/2 × 8 cm

= 4 cm².

Hence the area of rhombus is 4 cm².

Answer 2

$\bf{\underline{\underline \blue{Solution:-}}}$

$\sf\underline{\red{\:\:\: AnswEr:-\:\:\:}}$

• The area of the rhombus = 68 Cm²

$\sf\underline{\red{\:\:\: Given:-\:\:\:}}$

• The side of the rhombus is 17 cm.
• The height of the rhombus is 8 cm.

$\sf\underline{\red{\:\:\: Need\:To\: Find:-\:\:\:}}$

• The area of the rhombus = ?

$\bf{\underline{\underline \blue{Explanation:-}}}$

$\sf\underline{\pink{\:\:\: Diagram:-\:\:\:}}$

$\rule{200}{2}$

$\setlength{ \unitlength}{20} \begin{picture}(3,5) \put(2,2){ \line(1,0){4}}\put(2,2){ \line(1,1){3}}\put(6,2){ \line(1,1){3}} \put(5,5){ \line(1,0){4}} \put(2,1.5 ){ \tt D } \put(6, 1.5){ \tt c } \put(5,5.2){ \tt A } \put(9.3, 5){ \tt B } \put(4, 1.5){ \tt 17 \: cm } \put(5.2,4.5){\line(0,1){0.5}}\put(5.2,3.5){\line(0,1){0.5}}\put(5.2,2.8){\line(0,1){0.3}}\put(5.2,2){\line(0,1){0.5}}\put(4.8,2){\line(0,1){0.35}}\put(4.8,2.35){\line(1,0){0.4}}\put(5.25,3.5){ \bf 8 \: cm }\end{picture}$

$\rule{200}{2}$

$\sf\underline{\red{\:\:\: Formula\:Used\: Here:-\:\:\:}}$

$\bigstar \: \boxed{ \sf \: Area \:of\:a\: rhombus = \frac{1}{2 } \times(Base \times Height)}$

$\sf\underline{\green{\:\:\: Now,Putting\:the\: values:-\:\:\:}}$

$\dashrightarrow \sf {Area\:of\:the\: rhombus = \frac{1}{2} \times ( 17 \times 8 )}$

$\dashrightarrow \sf {Area\:of\:the\: rhombus = \frac{1}{2} \times136}$

$\dashrightarrow \sf {Area\:of\:the\: rhombus = 68\:Cm^2}$

$\sf\underline{\green{\:\:\: ThereFore:-\:\:\:}}$

• The area of the rhombus = 68 Cm²

$\rule{200}{2}$