A rectangular garden has a length that is five less than twice the width. The garden perimeter is 50 meters. What are the dimensions of the garden?

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A rectangular garden has a length that is five less than twice the width. The garden perimeter is 50 meters. What are the dimensions of the garden?

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Answer 1 · 2017-02-07T04:47:52

Width $= 10 meters$ $"= 10 meters"$
Length $= 15 meters$ $"= 15 meters"$

Explanation:

Given:

Width $= x$ $= x$

Length $= 2 x - 5$ $= 2x - 5$

Perimeter $= 50$ $= 50$

$Perimeter = 2 \times length + 2 \times width$ $"Perimeter" = 2xx "length" + 2 xx "width"$

Substitute:

$50 = 2 (2 x - 5) + 2 (x)$ $50 = 2(2x - 5) + 2(x)$

Simplify:

$50 = 4 x - 10 + 2 x$ $50 = 4x - 10 + 2x$

$50 = 6 x - 10$ $50 = 6x - 10$

$60 = 6 x$ $60 = 6x$

$x = 10$ $x = 10$

Substitute (FINALLY)

Width:

$x = 10$ $x = 10$

So width $= 10 meters$ $"= 10 meters"$

Length:

$2 x - 5 = 2 (10) - 5$ $2x - 5 = 2(10) - 5$

$= 20 - 5 = 15$ $= 20 - 5 = 15$

So length $= 15 meters$ $"= 15 meters"$

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A rectangular garden has a length that is five less than twice the width. The garden perimeter is 50 meters. What are the dimensions of the garden?

1 Answer

Explanation:

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