The ratio of two adjacent sides of a rectangle is 4 : 3 and its area is 2028 sq-m. Find its length
and breadth.
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Step-by-step explanation:
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Answer:
Length = 52 m
Breadth = 39 m
Step-by-step explanation:
Given -
The ratio of two adjacent sides of a rectangle is 4 : 3 and its area is 2028 m². Find its length and breadth.
Solution -
Adjacent sides of rectangle = length and breadth
Ratio of adjacent sides = ratio of length and breadth = 4 : 3
Let the length as 4x and breadth as 3x
Area of rectangle = 2028 m²
=> Length × Breadth = 2028 m²
=> 4x × 3x = 2028 m²
=> 12x² = 2028 m²
=> x² = 2028 m² ÷ 12
=> x² = 169 m²
=> √x² = √169m²
=> x = 13 m
Length = 4x = 4×13 m = 52 m
Breadth = 3x = 3×13 m = 39 m
Hope it helps.
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