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1.7 Find Perimeter, Circumference and Area

1.7 Find Perimeter, Circumference and Area. Objectives: Find dimensions of given polygons. Common Core Standards: A-SSE-1, A-REI-3, G-GPE-7, G-MG-3, N-Q-1 Assessments: Define all vocab for this section Complete 1-2 Worksheet. Equations to Know!. Square (s= side length) P=s 2 A=4s

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1.7 Find Perimeter, Circumference and Area

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  1. 1.7 Find Perimeter, Circumference and Area Objectives: Find dimensions of given polygons. Common Core Standards: A-SSE-1, A-REI-3, G-GPE-7, G-MG-3, N-Q-1 Assessments: Define all vocab for this section Complete 1-2 Worksheet

  2. Equations to Know! • Square (s= side length) • P=s2 • A=4s • Rectangle (l=length, w=width) • P= 2l + 2w • A= lw • Triangle (where a, b, and c are the sides and h is the height.) • P=a +b +c • A= ½ bh • Circle • C=d or 2r

  3. Basketball Find the perimeter and area of the rectangular basketball court shown. EXAMPLE 1 Find the perimeter and area of a rectangle

  4. Team Patch You are ordering circular cloth patches for your soccer team’s uniforms. Find the approximate circumference and area of the patch shown. EXAMPLE 2 Find the circumference and area of a circle

  5. Skating Rink An ice-resurfacing machine is used to smooth the surface of the ice at a skating rink. The machine can resurface about 270 square yards of ice in one minute. EXAMPLE 4 Solve a multi-step problem About how many minutes does it take the machine to resurface a rectangular skating rink that is 200 feet long and 90 feet wide? SOLUTION The machine can resurface the ice at a rate of 270square yards per minute. So, the amount of time it takes to resurface the skating rink depends on its area.

  6. STEP 1 Find the area of the rectangular skating rink. Area = lw = 200 (90) = 18,000 ft 2 The resurfacing rate is in square yards perminute. Rewrite the area of the rink insquareyards. There are 3 feet in 1yard, and 32 = 9 square feet in 1 square yard. 18,000 ft 2 = 1 yd 2 2000 yd 2 9 ft 2 EXAMPLE 4 Solve a multi-step problem Use unit analysis.

  7. Write a verbal model to represent the situation. Then write and solve an equation based on the verbal model. STEP 2 2000 270 t = 7.4 t It takes the ice-resurfacing machine about 7 minutes to resurface the skating rink. ANSWER EXAMPLE 4 Solve a multi-step problem Let trepresent the total time (in minutes) needed to resurface the skating rink. Substitute. Divide each side by 270.

  8. 5. Find the perimeter and the area of the triangle shown. for Examples 3 and 4 GUIDED PRACTICE ANSWER

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