Rewrite a formula with three variables

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Presentation transcript:

Rewrite a formula with three variables EXAMPLE 2 Rewrite a formula with three variables 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. SOLUTION Solve the formula for w. STEP 1 P = 2l + 2w Write perimeter formula. P – 2l = 2w Subtract 2l from each side. P – 2l 2 = w Divide each side by 2.

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

Solve the formula for p = 2l + 2w for l STEP 1 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. Solve the formula for p = 2l + 2w for l STEP 1 P = 2l + 2w Write perimeter formula. P – 2w = 2l Subtract 2w from each side. P – 2w 2 = l Divide each side by 2

Substitute the given values in. GUIDED PRACTICE for Example 2 STEP 2 Substitute the given values in. l Formula for P – 2w 2 = 30 – 2 (7) 2 = Multiply. 16 2 = Subtract. 8 = Divide. Length of rectangle is 8 in. ANSWER

GUIDED PRACTICE for Example 2 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. Solve the formula for w STEP 1 A = lw Write perimeter formula. A l = w Divide each side by l

Substitute the given values into rewrite formula. GUIDED PRACTICE for Example 2 STEP 2 Substitute the given values into rewrite formula. w = A l Write perimeter formula. = w 40 16 Subtract 40 from A and 16 for l. w = 2.5 Divide Write of rectangle is 2.5 m

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 bh 5. Find h if b = 12 m and A = 84 m2. A = 1 2 bh Write perimeter formula. 2A = bh Multiply each side by 2. = h 2A b Divide each side by b

Find the value of h if b = 12m and A = 84m2. GUIDED PRACTICE for Example 2 Find the value of h if b = 12m and A = 84m2. = h 2A b Find h if b = 12 m and A = 84 m2. = h 2A b Write formula. = h 2(84) 12 Substitute 84 for A and 12 for b. h = 14 Simplify h = 14m

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 bh 6. and A = 9 cm2. Find b if h = 3 cm A = 1 2 bh Write perimeter formula. 2A = bh Multiply each side by 2. = b 2A h Divide each side by h

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 bh 6. and A = 9 cm2. Find b if h = 3 cm = b 2A h Write formula. = b 2(9) 3 Substitute 9 for A and 3 for b. b = 6 Simplify b = 6cm

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. (b1 + b2)h Find h if b1 = 6 in., b2 = 8 in., and A = 70 in.2 A = 1 2 (b1 + b2)h Write perimeter formula. 2A = (b1 + b2)h Multiply each side by 2. h = 2A (b1 + b2) Divide by (b1 + b2)

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. (b1 + b2)h Find h if b1 = 6 in., b2 = 8 in., and A = 70 in.2 h = 2A (b1 + b2) Write formula. h = 2(70) (6 + 8) Substitute 70 for A and 6 for b1 and 8 for b2. h = 10 Simplify h = 10 in.