Answer:
length 42 cm and width 26 cm
Step-by-step explanation:
Given
Since Brian tied 136 foot rope around the perimeter , hence perimeter of house is 136 foot.
Given that shape of house is rectangular.
formula to calculate perimeter of rectangle can be used which is 2*(L+B)
where L is length of rectangle and B width of rectangle
Let the L and B be length of rectangular side of house
According to question
length of house is 10 feet less than twice the width of house
mathematically it can be represented as
L = 2*B - 10 --->eq. 1
Perimeter of house = 136 feet
using formula of Perimeter of rectangle
136 = 2*(L+B)
substituting the value of length in terms of width from eq. 1 in formula of perimeter
=> 136/2 = 2*B - 10 + B (2*B+ B = 3B)
=> 68 = 3*B - 10
=> 78 = 3*B
B = 78/3 = 26
Therefore B which is width = 26 CM
length = 2*B - 10= 26*2 - 10 = 52-10=42
length of house = 42 cm
Hence dimension of Brian's house is length 42 cm and width 26 cm
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