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EXAMPLE 3

63 = 93. ANSWER. The width is 7 feet. The correct answer is A. 9. 9. EXAMPLE 3. Standardized Test Practice. SOLUTION. A = l w. Write area formula. 63 = 9 w. Substitute values. Divide each side by 9. 7 = w. Simplify.

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EXAMPLE 3

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  1. 63 = 93 ANSWER The width is 7 feet. The correct answer is A. 9 9 EXAMPLE 3 Standardized Test Practice SOLUTION A = lw Write area formula. 63 = 9w Substitute values. Divide each side by 9. 7 = w Simplify.

  2. The rectangle at the right has a perimeter of 20 inches. Find the length of the rectangle. EXAMPLE 4 Finding an Unknown Length p = 2l + 2w Write perimeter formula. 20 = 2l + 2 (4) Substitute 20 for Pand 4 for w. 20 = 2l + 8 Multiply. 20 – 8 = 2l + 8 – 8 Subtract 8 from each side. 12 = 2l Simplify.

  3. ANSWER 2l 12 2 The length of the rectangle is 6 inches. 2 = EXAMPLE 4 Finding an Unknown Length Divide each side by 2. Simplify. 6 = l

  4. A polar bear exhibit includes a rectangular pool and rocks. Find the area of the region with rocks. Let rbe the area of the region with rocks. EXAMPLE 5 Using an Area Formula Zoo Exhibit SOLUTION

  5. 40 56 = 20 32 + r ANSWER The area of the region with rocks is 1600 square feet. EXAMPLE 5 Using an Area Formula 2240 = 640 + r Write an algebraic model. 2240 – 640 = 640 – 640 + r Subtract 640 from each side. 1600 = r Simplify.

  6. Find the unknown dimension. ANSWER The length of the rectangle is 10 ft. for Examples 3, 4 and 5 GUIDED PRACTICE 3. Perimeter=36 feet

  7. 4. Area=32 mm2 ANSWER Height of the triangle is 8mm. for Examples 3, 4 and 5 GUIDED PRACTICE

  8. Area= 6 in.2 ANSWER Base of the triangle is 3in. for Examples 3, 4 and 5 GUIDED PRACTICE

  9. ANSWER The area of the region with rock is 1920ft2. for Examples 3, 4 and 5 GUIDED PRACTICE 6.What If? In Example 5, suppose the length of the exhibit area was 64 feet instead of 56 feet. Find the area of the region with rocks.

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