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MrRa [10]
2 years ago
8

A rectangular garden is 15 ft longer than it is wide. Its area is 700 ft. What are its dimensions?

Mathematics
2 answers:
ipn [44]2 years ago
8 0
20ft and 35ft are the dimensions
NARA [144]2 years ago
7 0

Step-by-step explanation:

<u>Given</u><u> </u><u>:</u><u>-</u><u> </u>

  • The length of rectangular garden is 15 feet longer than its width
  • The area of rectangular garden is 700ft²

<u>To </u><u>find</u><u>:</u><u>-</u>

  • Dimensions of rectangular garden

<u>Solution</u><u>:</u><u>-</u>

According to the question , let the length of rectangular garden be x and width be x + 15

<u>We know ,</u> the formula for area of rectangular garden is <u>L × B</u>

putting the known values ,

700ft.² = X × (X + 15)

700 ft. ² = x² + 15x

x² + 15 x - 700 = 0

<u>By </u><u>factorising</u><u> </u><u>it </u><u>we </u><u>get</u><u> </u><u>,</u><u> </u>x = 20

So , the dimensions of rectangular garden are 20 feet and 35 feet respectively for length and width.

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