First, we determine the area of the rectangular house by multiplying the length by the width. That is,
area of the house = (50 ft)(24 ft) = 1200 ft²
Given that all sides of the house should have the pathway, the length of the house plus the pathway should be 50+2x and the new width would be 24+2x. The new area minus the original area of the house should not be more than 345 ft². Thus, the equation would be,
(50+2x)(24+2x) - 1200 ≤ 345
3x + 1 = 1/3x + 9 Multiply through by 3
<span>9x + 3 = x + 27 Subtract x </span>
<span>8x + 3 = 27 Subtract 3 </span>
<span>8x = 24 </span>
<span>x = 3 </span>
<span>AK = 3*3 + 1 = 10 </span>
<span>AB = 2*AK = 20</span>
7 is a prime number, 72 is not a prime number.
Hope this helped!:)
Answer:
x=-92 is the answer I hope it helps
