3 years ago

Josh is building a sandbox for his little sister. He uses these plans, which have a scale of 2 in. : 3 ft.

Mathematics

1 answer:

skelet666 [1.2K]3 years ago

6 0

Answer:

Width of 6ft and length of 9ft

Step-by-step explanation:

The sandbox has a ratio of 2:3. If you plug the numbers in with the ratio, you can find the actual dimensions.

Let x be the length

Let y be the width

(Length)

2in / 3ft = 6in / (x)ft

2in / 3ft = 6in / 9ft

(Width)

2in / 3ft = 4in / (y)ft

2in / 3ft = 4in / 6ft

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A field with an area of 2880 ft^2 has the shape of a rectangle, whose length is 12 ft larger than its width. Find the dimensions

tiny-mole [99]

ANSWER

w=48,l=60

EXPLANATION

Let the width of the field be, w , then,

the length of the field will be:

$l = 12 + w$

The area of a rectangle is

$Area = lw$

This implies that:

$w(12 + w) = 2880$

Expand

${w}^{2} + 12w = 2880$

${w}^{2} + 12w - 2880 = 0$

$(x + 60)(x - 48) = 0$

This implies that,

$w = - 60 \: w = 48$

The dimensions are positive, the width is 48 and the length is 12+48=60

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