Answer:
L = B + 3 ..................(1)
L × B = 270 m² .................(2)
on solving we get
L = 18 m, B = 15 m
Step-by-step explanation:
Let the length of the rectangle be L
and,
Width of the rectangle be 'B'
thus,
according to the question
L = B + 3 ..................(1)
And, area of the rectangle = 270 m²
also,
Area of the rectangle = L × B = 270 m² ...........(2)
on substituting 'L' from equation 1 in equation 2, we get
( B + 3 ) × B = 270
or
B² + 3B - 270 = 0
or
B² + 18B - 15B - 270 = 0
or
B( B + 18 ) - 15(B + 18) = 0
or
( B - 15 ) × ( B + 18 ) = 0
thus, we get
B = 15 m (accepted ) and B = -18 m (neglected : since the length cannot be negative)
therefore,
From 1, we get
L = 15 + 3 = 18 m
