Question

AR
DLAPCO
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The diagonal of a xectangular field is 18m
than the shorter Eide. If the longer
side is 30m
more than the shorter side
Find the sides of the field.​

Answer 1

Answer:

16 m, 30m.

Explanation:

Let the length of the shorter side of the rectangle be 'x' m.

∴ The length of the diagonal = (x+18)m.

From Pythagoras's Theorem,

$x^{2} + 30^{2} = (x+18)^{2}$

⇒ $x^{2} + 30^{2} = x^{2}+36x+324$

⇒ $36x = 900 - 324$

⇒ $x=576/36 = 16$

∴ The sides of the field are:  16 m, 30 m. (Ans.)