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Zorluk: KolayPerimeter and Fencing Problems

A contractor is installing a decorative border around a newly built rectangular patio. The patio is 1515 feet long and 1010 feet wide. If the border material costs $2\$2 per foot, what is the total cost of the material needed?

  1. A
    $50\$50
  2. $100\$100Cevap
  3. C
    $150\$150
  4. D
    $300\$300

Cevap

The total cost of the material needed is $100\$100.
The correct answer is found by first calculating the perimeter of the rectangle, which is 2×(15+10)=502 \times (15 + 10) = 50 feet. Then, this total length is multiplied by the price per foot (50×$250 \times \$2) to get a final cost of $100\$100.

Adım Adım Çözüm

1
Identify that the border goes around the outside of the patio, which means you need to find the perimeter.
Perimeter = 2×(Length+Width)2 \times (\text{Length} + \text{Width})
Understanding the difference between the boundary (perimeter) and the inside space (area).
2
Calculate the total perimeter of the rectangular patio.
Perimeter = 2×(15+10)=2×25=502 \times (15 + 10) = 2 \times 25 = 50 feet.
This determines the total linear feet of border material required.
3
Multiply the total perimeter by the cost per foot to find the total cost.
50 feet×$2/foot=$10050 \text{ feet} \times \$2\text{/foot} = \$100.
Applying the unit rate to the total length gives the final financial cost.

Anahtar Kavram

Calculating the perimeter of a rectangle and applying a unit rate to find total cost.
Tahmini Süre:45s
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Perimeter and Fencing Problems

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