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Flura [38]
3 years ago
7

The length of the diagonal of a rectangle is 11 cm more than the width and the width is 3 cm less than the length. If the area i

s 990 cm^2, find the length of the rectangle.
Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
3 0

Answer:

33cm

Step-by-step explanation:

area of a rectangle= length ×width

Let x be the length

990=x( x-3)

990=x^2-3x

x^2-3x-990=0

x^2+30x-33x-990=0

x(x+30)-33(x+30)=0

(x-33)(x+30)=0

x=33, x=-30

length is positive so it'll be 33cm

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The width of a rectangle is 12 inches more than the length. The perimeter is 76 inches. Find the width and the length.
stira [4]

Answer:

The length of the rectangle is 13 inches and its width (13 + 12) is 25 inches.

Step-by-step explanation:

You have to consider the formula of the perimeter = 2·length + 2·width.

If we call "x" to the length ⇒ width = x + 12 .

Perimeter = 2x + 2·(x + 12) ⇒ Perimeter = 2x + 2x + 24

⇒Perimeter = 4x + 24. ⇒ 76 = 4x + 24 ⇒ 76 - 24 = 4x ⇒52 = 4x

⇒ 52/4 = x ⇒ x = 13.

So, the length of the rectangle is 13 inches and its width (13 + 12) is 25 inches.

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Answer:

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Step-by-step explanation:

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