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EXAMPLE 2 Rewrite a formula with three variables SOLUTION Solve the formula for w. STEP 1 P = 2l + 2w P – 2l = 2w P – 2l 2 = w Write perimeter formula.

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Presentation on theme: "EXAMPLE 2 Rewrite a formula with three variables SOLUTION Solve the formula for w. STEP 1 P = 2l + 2w P – 2l = 2w P – 2l 2 = w Write perimeter formula."— Presentation transcript:

1 EXAMPLE 2 Rewrite a formula with three variables SOLUTION Solve the formula for w. STEP 1 P = 2l + 2w P – 2l = 2w P – 2l 2 = w Write perimeter formula. Subtract 2l from each side. Divide each side by 2. Solve the formula P = 2l + w for w. Then find the width of a rectangle with a length of 12 meters and a perimeter of 41 meters.

2 EXAMPLE 2 Rewrite a formula with three variables 41 – 2(12) 2 w = w = 8.5 Substitute 41 for P and 12 for l. Simplify. The width of the rectangle is 8.5 meters. ANSWER Substitute the given values into the rewritten formula. STEP 2

3 GUIDED PRACTICE for Example 2 Solve the formula P = 2l + 2w for l. Then find the length of a rectangle with a width of 7 inches and a perimeter of 30 inches. 3. Length of rectangle is 8 in. ANSWER Solve the formula A = lw for w. Then find the width of a rectangle with a length of 16 meters and an area of 40 square meters. 4. Write of rectangle is 2.5 m w = A l ANSWER

4 GUIDED PRACTICE for Example 2 Solve the formula for the variable in red. Then use the given information to find the value of the variable. A = 1 2 bhbh 5. Find h if b = 12 m and A = 84 m 2. = h 2A2A b ANSWER

5 GUIDED PRACTICE for Example 2 Find the value of h if b = 12m and A = 84m 2. Find h if b = 12 m and A = 84 m 2. = h 2A2A b h = 14m ANSWER

6 GUIDED PRACTICE for Example 2 Find b if h = 3 cm Solve the formula for the variable in red. Then use the given information to find the value of the variable. A = 1 2 bhbh 6. and A = 9 cm 2. = b 2A2A h ANSWER

7 GUIDED PRACTICE for Example 2 Find b if h = 3 cm Solve the formula for the variable in red. Then use the given information to find the value of the variable. A = 1 2 bhbh 6. and A = 9 cm 2. b = 6cm ANSWER

8 GUIDED PRACTICE for Example 2 Solve the formula for the variable in red. Then use the given information to find the value of the variable. A = 1 2 7. (b 1 + b 2 )h Find h if b 1 = 6 in., b 2 = 8 in., and A = 70 in. 2 h =h = 2A2A (b 1 + b 2 ) ANSWER

9 GUIDED PRACTICE for Example 2 Solve the formula for the variable in red. Then use the given information to find the value of the variable. A = 1 2 7. (b 1 + b 2 )h Find h if b 1 = 6 in., b 2 = 8 in., and A = 70 in. 2 h = 10 in. ANSWER

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