Practice Finding the Area of a Polygon > Stacy example showing how to find the area of a polygon
Then solve problems 1-5.
151
Example
The polygon represents the floor space of a
ciaching store inamall. How many square feet
of foor space does the store have?
Decompose the polygon into tovo rectangles
andatangle
Area of top rectangle
bh= 25720 = 500
Are of bottom rectangle
bih=50/15 = 750
Are of triangle
= 250
*
20
1
150
=
Total area: 500 - 750 - 250 = 1.500
The store has 1.500 ft- of floor space.
Show another way to find the number of square feet of floor space for the store in
the Example

i dont know sorry

step-by-step explanation:

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places