Ellis's backyard has a 6.25 by 6.25 m patio. She would like to build a 1.5 m wide extension around 3 sides
of the patio, as the figure shows. She will buy 0.25 by 0.25 m tiles that come 25 to a package.
patio
extension
How many packages does Ellis need to buy to build the extension?
packages

x = 10.1

step-by-step explanation:

all of the angles of a tirangle add up to 180º

180 - 65 = 115 (since we already know the value of one angle)

(2x + 7) + (8x + 7) = 115

(combins like terms) 10x + 14 = 115

(isolate the variable subtract 14 from both sides): 10x = 101

(find the variable divide both sides by 10): x = 101/10

x = 10.1

answer: for each 3 girls there is 2 boys . 3: 2

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