A new patio will be an irregular hexagon. The patio will have two long parallel sides and an area of 360 square feet. The area o
f a geometrically similar patio is 250 square feet, and its long parallel sides are 12.5 feet apart. What is the corresponding distance on the new patio?
Given two similar figures, the ratio of any two corresponding sides measures with the equal in square to the ratio of any two corresponding area measure. Let x be the separation of the two long parallel sides in the larger patio.
you must establish a equation system with the information given , 4x numbers of limon , where x represent the cost of every lemon and 4y numbers of plums , where y represents the cost of plums
now the equation system is 1) 4x+ 4y = 21,60 and 2) 11x+ 6y = 40.29
of the equation 1 you must obtain the value of x, 4x = 21.60+4y ⇒x=21.60/4+4y/4⇒x= 5.4+y
now with the value of x , it is substitute in the equation 2) 11(5.4+y) + 6y = 40.29 , ⇒ 59.4 + 11y + 6y = 40.29 ⇒ 17y = 40.29-59.4⇒ y = -19,11/7⇒ y = -2.73
the value of y is substitute in the equation 1) x = 5.4 + ( -2,73)⇒ x= 2,67, where ,the price of every lemon is $ 2,67
