GEOMETRY HELP Margaret’s garden is a square 12 ft on each side. Margaret wants a path 1 ft wide...
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![Page 1: GEOMETRY HELP Margaret’s garden is a square 12 ft on each side. Margaret wants a path 1 ft wide around the entire garden. What will the outside perimeter.](https://reader036.fdocuments.us/reader036/viewer/2022072015/56649ebb5503460f94bc2fe4/html5/thumbnails/1.jpg)
GEOMETRYHELP
Margaret’s garden is a square 12 ft on each side.
Margaret wants a path 1 ft wide around the entire garden.
What will the outside perimeter of the path be?
The perimeter is 56 ft.
P = 4s Formula for perimeter of a square
P = 4(14) = 56 Substitute 14 for s.
Because the path is 1 ft wide, increase each side of the garden by 1 ft. s = 1 + 12 + 1 = 14
Quick Check
Perimeter, Circumference, and AreaLESSON 1-9
Additional Examples
![Page 2: GEOMETRY HELP Margaret’s garden is a square 12 ft on each side. Margaret wants a path 1 ft wide around the entire garden. What will the outside perimeter.](https://reader036.fdocuments.us/reader036/viewer/2022072015/56649ebb5503460f94bc2fe4/html5/thumbnails/2.jpg)
GEOMETRYHELP
C = 2 (6.5) Substitute 6.5 for r.
The circumference of G is 13 , or about 40.8 cm..
C = 13 Exact answer
C = 2 r Formula for circumference of a circle
G has a radius of 6.5 cm. Find the circumference of G in
terms of . Then find the circumference to the nearest tenth.
. .
Perimeter, Circumference, and AreaLESSON 1-9
Additional Examples
Quick Check
C = 13 Use a calculator.
![Page 3: GEOMETRY HELP Margaret’s garden is a square 12 ft on each side. Margaret wants a path 1 ft wide around the entire garden. What will the outside perimeter.](https://reader036.fdocuments.us/reader036/viewer/2022072015/56649ebb5503460f94bc2fe4/html5/thumbnails/3.jpg)
GEOMETRYHELP
Quadrilateral ABCD has vertices
A(0, 0), B(9, 12), C(11, 12), and D(2, 0).
Find the perimeter.
Draw and label ABCD on a coordinate plane.
BC = |11 – 9| = |2| = 2 Ruler Postulate
DA = |2 – 0| = |2| = 2 Ruler Postulate
Find the length of each side. Add the lengths to find the perimeter.
AB = (9 – 0)2 + (12 – 0)2 = 92 + 122 Use the Distance Formula.
= 81 + 144 = 255 = 15
CD = (2 – 11)2 + (0 – 12)2 = (–9)2 + (–12)2 Use the Distance Formula.
= 81 + 144 = 255 = 15
Perimeter, Circumference, and AreaLESSON 1-9
Additional Examples
![Page 4: GEOMETRY HELP Margaret’s garden is a square 12 ft on each side. Margaret wants a path 1 ft wide around the entire garden. What will the outside perimeter.](https://reader036.fdocuments.us/reader036/viewer/2022072015/56649ebb5503460f94bc2fe4/html5/thumbnails/4.jpg)
GEOMETRYHELP
(continued)
Perimeter = AB + BC + CD + DA
= 15 + 2 + 15 + 2
= 34
The perimeter of quadrilateral ABCD is 34 units.
Perimeter, Circumference, and AreaLESSON 1-9
Additional Examples
Quick Check
![Page 5: GEOMETRY HELP Margaret’s garden is a square 12 ft on each side. Margaret wants a path 1 ft wide around the entire garden. What will the outside perimeter.](https://reader036.fdocuments.us/reader036/viewer/2022072015/56649ebb5503460f94bc2fe4/html5/thumbnails/5.jpg)
GEOMETRYHELP
Write both dimensions using the same unit of measurement. Find the area of the rectangle using the formula A = bh.
36 in. = 3 ft Change inches to feet using 12 in. = 1 ft.
A = bh Formula for area of a rectangle.
A = (4)(3) Substitute 4 for b and 3 for h.
A = 12
You need 12 ft2 of fabric.
To make a project, you need a rectangular piece of fabric 36 in. wide and 4 ft long. How many square feet of fabric do you need?
Perimeter, Circumference, and AreaLESSON 1-9
Additional Examples
Quick Check
![Page 6: GEOMETRY HELP Margaret’s garden is a square 12 ft on each side. Margaret wants a path 1 ft wide around the entire garden. What will the outside perimeter.](https://reader036.fdocuments.us/reader036/viewer/2022072015/56649ebb5503460f94bc2fe4/html5/thumbnails/6.jpg)
GEOMETRYHELP
A = r2 Formula for area of a circle.
A = (1.5)2 Substitute 1.5 for r.
A = 2.25
In B, r = 1.5 yd..
The area of B is 2.25 yd2..
Find the area of B in terms of . .
Perimeter, Circumference, and AreaLESSON 1-9
Additional Examples
Quick Check
![Page 7: GEOMETRY HELP Margaret’s garden is a square 12 ft on each side. Margaret wants a path 1 ft wide around the entire garden. What will the outside perimeter.](https://reader036.fdocuments.us/reader036/viewer/2022072015/56649ebb5503460f94bc2fe4/html5/thumbnails/7.jpg)
GEOMETRYHELP
Find the area of the figure below.
Draw a horizontal line to separate the figure into three nonoverlapping figures: a rectangle and two squares.
Perimeter, Circumference, and AreaLESSON 1-9
Additional Examples
![Page 8: GEOMETRY HELP Margaret’s garden is a square 12 ft on each side. Margaret wants a path 1 ft wide around the entire garden. What will the outside perimeter.](https://reader036.fdocuments.us/reader036/viewer/2022072015/56649ebb5503460f94bc2fe4/html5/thumbnails/8.jpg)
GEOMETRYHELP
AR = bh Formula for area of a rectangleAR = (15)(5) Substitute 15 for b and 5 for h.AR = 75
AS = s2 Formula for area of a squareAS = (5)2 Substitute 5 for s.AS = 25
A = 75 + 25 + 25 Add the areas. A = 125
The area of the figure is 125 ft2.
Find each area. Then add the areas.
(continued)
Perimeter, Circumference, and AreaLESSON 1-9
Additional Examples
Quick Check