Question

A rhombus has a perimeter of 100 m and a diagonal 30 m long. Find the area of the rhombus.
please help me​

Answer 1

Answer:

$\huge{\red{\boxed{\boxed{\green{\sf{AREA=600m^{2}}}}}}}$

Step-by-step explanation:

$\huge{\red{\boxed{\boxed{\green{\underline{\red{\sf{SOLUTION-}}}}}}}}$

□Perimeter of rhombus=100m

□D1=30m

To find:

○Area of rhombus=?

${ \boxed{ \green{perimter \: of \: rhombus = 100m}}} \\ = ) 4 \times a = 100 \\ = )a = \frac{100}{4} \\ = )a = 25m \\ \\ in \: a \: right \: \triangle \: of \: rhombus \\ {h}^{2} = {p}^{2} + {b}^{2} \\ = ) {25}^{2} = {15}^{2} + {b}^{2} \\ = )625 - 225 = {b}^{2} \\ = )b = \sqrt{400} \\ = )b = 20m \\ \\ d2 = 2 \times b = 2 \times 20 = 40m \\ \\ area \: of \: rhombus = \frac{1}{2} \times d1 \times d2 \\ = ) \frac{1}{2} \times 30 \times 40 \\ = )15 \times 40 \\ = )600 {m}^{2}$

$\huge{\red{\boxed{\boxed{\green{\sf{AREA=600m^{2}}}}}}}$

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