Lesson 4 session 1
solve the problem. show your work.
a city has a rectangular park that is 143 feet by 32 tee
at is 143 feet by 32 feet. there is a grassy
field with a width of 30 feet. next to the field there
width of 2 feet. what is the area of the park in squa
area of the park in square feet?
100 ft
40 ft 3 ft
30 ft
i
?
3,000 square feet
22
143 ft

ou would have 12 of each

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

c.

step-by-step explanation:

she should of added 9^2 and 12^2. that is because it is a^2+b^2=c^2. c^2 is the hypotenuse and should always be bigger than the other two numbers. which is why she should of added 9 squared and 12 squared together instead of 15 squared.