No Negative Length

Level pending

The diagonal of a rectangular field ABCD is (P+9)m and the sides are (P+7)m and P m. Find the value of P.


The answer is 8.

Tasnif Ahmed by Tasnif Ahmed , 24, Bangladesh

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Victor Loh
Jan 4, 2014

Using Pythagoras Theorem,

P 2 + ( P + 7 ) 2 = ( P + 9 ) 2 P^{2}+(P+7)^{2}=(P+9)^{2}

P 2 + P 2 + 2 ( 7 P ) + 7 2 = P 2 + 2 ( 9 P ) + 9 2 P^{2}+P^{2}+2(7P) + 7^{2} = P^{2} + 2(9P) + 9^{2}

2 P 2 + 14 P + 49 = P 2 + 18 P + 81 2P^{2} + 14P + 49 = P^{2} +18P + 81

P 2 − 4 P − 32 = 0 P^{2} - 4P - 32 = 0

( P + 4 ) ( P − 8 ) = 0 (P+4)(P-8)=0

As P ≥ 0 P\geq 0 , P = 8 \boxed{P=8} .

1 Helpful 0 Interesting 0 Brilliant 0 Confused

it is good sum

sujit kumar - 7 years, 3 months ago

Even i did d same..

PRABHA Y N - 7 years, 2 months ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...