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seraphim [82]
3 years ago
12

A rectangle has a perimeter of 23 cm. Its area is 33 cm2. Determine the

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
5 0

Answer:

length = 6 cm; width = 5.5 cm

Step-by-step explanation:

Let the length = x. Let the width = y.

We use the formulas for area and perimeter using x and y, and the given values.

area = length * width

perimeter = 2(length + width)

xy = 33

2(x + y) = 23

Solve the first equation for x:

x = 33/y

Substitute 33/y for x in the second equation.

2(33/y + y) = 23

66/y + 2y = 23

Mulrtiply both sides by y.

66 + 2y^2 = 23y

2y^2 - 23y + 66 = 0

(2y - 11)(y - 6) = 0

2y - 11 = 0   or   y - 6 = 0

y = 11/2 = 5.5   or   y = 6

xy = 33

x * 11/2 = 33

x = 33 * 2/11

x = 6

Answer: length = 6 cm; width = 5.5 cm

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ludmilkaskok [199]
45 pages total
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(what I did is I first got rid of number of stamps on last page, then got rid of the last page)
P=2+s
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factor
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set equal to zero
s-6=0
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s+7=0
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6 stamps per page

sub
p=2+s
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8 pages

check
last page is 3 so 8-1=7 page left

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correct


there are
8 pages in the album
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Answer:

A

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the other options are constants, option A is the only option that would just be represented by a whole number

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