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Assignment #1: pp.438-440

#6) The perimeter of a rectangular piece of land 3  miles long and  mile wide is 8 miles. #7) The perimeter of an equilateral hexagon with one side of length 14 mm is 84 mm. #8) The perimeter of a square with side t is 4 t.

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Assignment #1: pp.438-440

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  1. #6) The perimeter of a rectangular piece of land 3 miles long and  mile wide is 8 miles. #7) The perimeter of an equilateral hexagon with one side of length 14 mm is 84 mm. #8) The perimeter of a square with side tis 4t. #9) The perimeter of a regular heptagon with side (x + 1) is 7x + 7. #10) The perimeter of a rectangle is 70, one side is 3 times the length of the others. The sides are8.75 & 26.25 units long. #11) A poster is 1.5 times as wide as it is high and its perimeter is 3 m The poster is 0.9 m long and 0.6 m wide . Assignment #1: pp.438-440

  2. #12) The perimeter of a rhombus is 2 feet. a. This is enough information to find the length of each side. b. Each side is  ft long. #13) A stop sign is a regular octagon. If its perimeter is 10’, one side has a length of 1.25 ft. #14) The perimeter of an equilateral triangle is p, one side has length p units long. m #15) The boundary of the museum on p.435 is given a. P = 8s + 18m + 2l b. If s = 25, m = 50, l = 100 P = 1300 m s l #16) When the dimensions of a rectangle are multiplied by 5, its perimeter is also multiplied by 5. Assignment #1: pp.438-440

  3. #17) A rectangle with perimeter 16 can have: a. length x 1 2 3 4 5 6 7 width y 7 6 5 4 3 2 1 b. y = -x +8 c. length =  width = 7 #18) One side of an equiangular pentagon has measure 7” but you cannot determine the perimeter. Equiangular means equal angles not equal sides. #19) The measure of each angle in a regular n-gon is #20) mBDC = 131 C 139 A D B Assignment #1: pp.438-440

  4. #1) Rectangle ABCD has dimensions 8.3 cm and 11.4 cm a. Use square centimeters for area. b. Area(ABCD) = 94.62sq cm 5 A B #2) a. Area(ABFG) = 35 sq units b. Area(CDEF) = 16 sq units c. Area(ABCDEG) = 15 sq units 4 C 7 D 4 G E F #3) We use the additive property to solve part c above. #4) a. Area = 315 sq units b. #8) There are 9 sq ft in a sq yd. #9) a. Area = 100 b. Area = a2 (7,20) (20,20) (0,10) (10,10) (7,15) (0,15) (0,a) (a,a) (20,10) (15,10) (15,0) (a,0) (10,0) Assignment #2: pp.445-446

  5. #10) Area(BCDNEM) = 192 sq units #13) a. 24” by 12” = 288 sq in b. 2’ by 1’ = 2 sq ft c. There are 144 sq in a sq ft D C N E 16 #14) The sides of a square are tripled a. The perimeter is tripled. b. The area is multiplied by nine. A M B #11) Area of a rectangle = 50 sq yd, Length = 100 yd, Width = yd #15) Area of a 100 yd by 60 yd field is 300 ft by 180 ft is 54000 sq ft. Area of a 1.5 ft by 6 ft piece of sod is 9 sq ft. So you’ll need 6000 rolls. #12) a. A = 49 sq un, s = 7 un b. A =  sq un, s  1 un c. A = 200 sq un, s  14 un d. A = 3141 sq un, s  56 un Assignment #2: pp.445-446

  6. #16) Perimeter of a regular pentagon = 13. Length = 2.6 #17) Perimeter of a regular pentagon = 462 cm, length one side= 185 the other length = 46 #18) Length one side of rhombus = 3x Perimeter = 12x 25 m #19) a. Perimeter of fence = 230 m b. If perimeter of fence = 200, the fence is 6.25 m from the pool 10 m 50 m #20) Perimeter of triangle =45 4.5x = 45 the sides are 10, 20 and 15 units long 2x 1x x Assignment #2: pp.445-446

  7. In problems #8, 9, 12 your answer may vary #8a.0.65625 sq in #8b.0.703126 sq in #9. 64 sq km #10a. There are 27,878,400 sq ft in one sq mile #10b. There are 43,560 sq ft in one acre. #11 The lake is 215/640 or about 35% of a sq mile. #12 One half area is 21780 sq ft so the dimension could be 121ft by 180 ft #13 If 1 mile = 1.6 km, 1 sq mile = 2.67 sq km and 20 sq miles = 51.2 sq km so the 20 sq miles is greater then 30 sq km. #14a. If AB = 7, HE = 5, then shaded area = 24 sq units #14b. If AB = x, HE = 5, then shaded area = x2 - 25 sq units Assignment #3: pp.450-452

  8. #15 The sides of a rectangle are multiplied by 10 a. The perimeter is multiplied by 10. b. The area is multiplied by 100. #16 Along the 10 ft or 30 in. side you’ll need four. Along the 12 ft or 36 in. side you’ll need five. So you’ll need 20 tiles. #17 Area of rectangle = 96, width = 4, so the length = 24 units. #18 If the area is in square kilometers, then the natural unit for perimeter is kilometers. In problems #19 & # 6 your answer may vary. p.486 #9a.4800 sq miles #9b.4200 sq miles #9c.3950 sq miles p.458 #8a.284,200 sq miles #8b.270,725 sq miles Assignment #3: pp.450-452; p.458; p.486

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