The length of the longer side of a rectangle is 3 more than the shorter side. If the area is 504 m², find the length and breadth.
Answers
Answer:
12 cm
Step-by-step explanation:
Let the breadth of the given rectangle be x cm.
Then, length =(x+8) cm
Now area =240cm
2
⇒length×breadth=240⇒(x+8)x=240
⇒x
2
+8x−240=0⇒x
2
+20x−12x−240=0⇒(x+20)(x−12)=0
⇒x=12orx=−20
But x cannot be negative, So, x=12
Hence, length =x+8=12+8=20cm and breadth =12cm
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Answer:
B = 21
L =24
Step-by-step explanation:
Breadth of the rectangle = x
Length of the rectangle = x + 3
=. Area = L × B
=. 504. = (x)(x+3)
= 504 = x^2 + 3x
= x^2 + 3x - 504 = o
= x^2 + ( 24-21 ) x - 504
=. x^2 + 24x - 21x - 504
=. x (x +24) - 21 (x+24)
=. (x-21) (x+24)
=. x = 21 ; x = -24
Since the value of breadth can't be -ve
= Breadth = 21
= so length = 21+3
= 24