Question

Difference between the length and diagonal of a rectangle is 2 cm. Find the area of
rectangle, having the length diagonal of 37 cm.
(1) 210 sq.cm (2) 420 sq.cm
(3) 444 sq.cm
(4) 1295 sq.cm.​

Answer 1

Answer:

(2) 420 m²

Step-by-step explanation:

The difference between the length and Diagonal is 2 and the length of the Diagonal is 37 implies length is either 39 or 35.

Since length can't be greater than the Diagonal hence length = 35.

Using Pythagoras theorem,

37² = 35² + b²

b² = 1369 - 1225

b² = 144

b = 12

Area of rectangle = l×b

= 35 × 12

= 420 m²

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