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Lera25 [3.4K]
3 years ago
9

A rectangle has a length of (x+5)and a with of x Write down the expression for the area of a rectangle If the area is 24cm²,find

the value of
Mathematics
1 answer:
ratelena [41]3 years ago
8 0

Answer: Width = 3cm

Length = 8cm

Step-by-step explanation:

Length = x+5 cm

Width = xcm

Area = 24cm²

Area of a rectangle = length × width

x × (x + 5) = 24

x² + 5x = 24

x² + 5x - 24 = 0

x² + 8x - 3x - 24 = 0

x(x + 8) - 3(x + 8) = 0

x - 3 = 0

x = 3

Width = 3cm

Since length = x + 5 = 3 + 5 = 8cm

Length = 8cm

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Ne4ueva [31]
27x6x60=9,720                                                                                                      *You can use mental math by multiplying 27 by 6 and adding the 2 zeros to the end of the product*





7 0
3 years ago
Which line has an undefined slope? Options: a) y = -1 b) 2y - 4x = 0 c) x = 1 d) y = x - 1
andrey2020 [161]

Answer:

C. x = 1

Step-by-step explanation:

When we have an undefined slope, we have a vertical line of x = [a number]. This isn't a function and we have an undefined slope because we don't know what m equals in y = mx + b.

7 0
3 years ago
A square rug lies in the middle of a rectangular room. There are 6 feet of uncovered floor on 2 sides of the rug and 2 feet of u
Gekata [30.6K]

The polynomial expression for the area of the room is f(x) = x^2 + 16x + 48.

Here, we are given that the side of the length of the rug = x

Now, the square rug is placed on the rectangular room such that on 2 sides the uncovered floor is 6 meters.

This means that the length of the 2 opposite sides of the rectangle will be (x + 6 + 6) = (x + 12)

Similarly, there is 2 feet of uncovered floor on the other 2 sides, which means that the length of other two opposite sides is- (x + 2 + 2) = (x + 4)

Kindly refer to the diagram below for a better clarity of how we found out the sides.

Now, the area of a rectangle = Length × Breadth

Thus, area of the room = (x + 12) (x + 4)

= x^2 + 4x + 12x + 48

= x^2 + 16x + 48

Thus, the polynomial expression for the area of the room is f(x) = x^2 + 16x + 48

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4 0
1 year ago
Measure of each side of an equilateral triangle is 12cm. It's area is given by
telo118 [61]

Answer:

D

Step-by-step explanation:

The area (A) of an equilateral triangle is calculated as

A = \frac{s^2\sqrt{3} }{4} ← s is length of a side

Here s = 12, thus

A = \frac{12^2\sqrt{3} }{4}

  = \frac{144\sqrt{3} }{4}

  = 36\sqrt{3} → D

4 0
3 years ago
What does f mean in f(x)=3/2x+2?<br><br> Also do the two points 0,2 and 2,5 work with the equation?
dem82 [27]

Answer:

f(x) means y

Points 0,2 and 2,5 work with the equation

Step-by-step explanation:

f(x) means y

For 0, 2

y = 3/2(0) + 2

y = 2

For 2,5

y =3/2(2) + 2

y = 5

3 0
2 years ago
Read 2 more answers
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