the length and breadth of a rectangle are in a ratio 5:2 and its perimeter is 98cm .find the area of the region bounded by the rectangle
Answers
Answer:
Step-by-step explanation:
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The area of the region bounded by the rectangle is 490 sq cm
Solution:
Given that,
Length : breadth = 5 : 2
Let the length be 5x
Let the breadth be 2x
Perimeter of rectangle = 98 cm
2(length + breadth) = 98
length + breadth = 49
5x + 2x = 49
7x = 49
x = 7
Thus,
Length = 5x = 5(7) = 35
Breadth = 2x = 2(7) = 14
Find the area of rectangle
Area of rectangle = length x breadth
Area of rectangle = 35 x 14
Area of rectangle = 490
Thus area of the region bounded by the rectangle is 490 sq cm
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