A rectangular garden is 28 feet long. If you walk diagonally across the garden, you would walk 35 feet. How many feet wide is the garden?

Question

Reece

Mathematics

29 December, 11:58

A rectangular garden is 28 feet long. If you walk diagonally across the garden, you would walk 35 feet. How many feet wide is the garden?

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Answers (2)

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Roland Hicks · Answer 1

21, I used Pythagorean Therom: a^2 + b^2 = c^2

a=28 b=? c=35

25^2 + b^2 = 35^2

Evaluate exponents

784 + b^2 = 1225

-784 - 784

b^2=441

Take square root of both sides.

b=21

Hannah Phillips · Answer 2

This is a great place to apply the Pyth. Theorem. Let the width be W.

Then W^2 + 28^2 = 35^2.

Solving this, we get W^2 = 441. Taking the positive square root, we get

W = 21 ft