Let Length of rectangular deck = l and
breath of rectangular deck = b
As per 1st given condition;
l = 8 + 2b ........(1)
as per 2nd given condition;
2(l+b) = 46
Put the value of "l" from (1) and we get;
2(8+ 2b +b) = 46
solve the values in the parenthesis and we get;
2(8+ 3b) = 46
Divide both sides by 2 and we get:
8+ 3b = 23
subtract 8 from side and we get;
3b = 15
divide both sides by 3 and we get;
b = 5
Put the value of b in (1) and we get
l = 8 + 2b
= 8 + 2 * 5
= 8 + 10
= 15
So,
Length of rectangular deck = 15
breath of rectangular deck = 8
Hope this will help you. |