Question

if the length and diagonal of a rectangle are 35m and 37m then find its area ​

Answer 1

Answer:

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Step-by-step explanation:

diagonal² = length² + breadth²    By Pythagoras theorem

so, b² = d² - l²

          = 37² - 35²

          = (37+35) (37-35)

          = 72 * 2

           = 144

thus,   b = 12m

Ares of rectangle = l*b

                             = 35*12

                             = 420m²

Answer 2

The Area or rectangle will be 420 m². Further explanation is given below.

Step-by-step explanation:

Given:

Length, l=37 m

Diagonal, d=35 m

By Pythagoras theorem,

$diagonal^{2}$=$length^{2}$+$breadth^{2}$

          d²=l²+b²

So,     b²=d²-l²

On putting the values of d and l in the above equation, we get

      b²=37²-35²

      b²=1369-1225

      b²=144

       b=12m

Area of rectangle, a=l×b

On putting the values of l and b in the above formula, we get

Area, a=35×12

         a=420 m²

Learn more:

Find the diagonal of a rectangle whose length is 35cm and breadth is 12 cm...

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