Question

Find the area of rectangular field whose length is 35 CM and diagonal is 37 CM​

Answer 1

Answer:

Answer

According to pythagoras theroem, in △ABC

AB

2

+BC

2

=AC

2

⇒35

2

+12

2

=AC

2

⇒1225

2

+144=AC

2

⇒AC

2

=1369

⇒AC=37cm

Hence, the length of the diagonal is 37 cm.

Answer 2

[Given :- ]

➠Length of rectangle = 35 cm

➠diagonal of rectangle = 37 cm

[Find :-]

➠Area of rectangle

[Solution :- ]

First we need to find breadth of rectangle

so , lets breadth be B.

Here, length ( L ) = 35 cm

and diagonal ( D ) = 37 cm

Using Pythagoras theorem

{ D }² = ( B )² + ( L )²

( B ) ² = ( 37 cm ) ² - ( 35 cm ) ²

( B ) ² = 1369cm²- 1255cm²

( B )² = 144cm

B = √144

B = 12 cm

Hence, the breadth of rectangle is 12 cm.

Now,

Area of rectangle = length × breadth

= 35 cm × 12 cm

➠ = 420 cm ²

Therefore, The Area of rectangle is 420 cm ².

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