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2 years ago

A square of the side lenght of 6cm has the same area as this rectangle . find the perimeter of the rectangle.

Mathematics

1 answer:

Aleksandr-060686 [28]2 years ago

3 0

Answer:

The perimeter of the rectangle is 26 cm

Step-by-step explanation:

First find the area of the square by multiplying 6 by itself

A = 6 cm * 6 cm = 36 sq cm

Since the rectangle has the same area as the square, we can say that w * 9 = 36 sq cm

w * 9 = 36

Divide both sides by 9 to isolate the variable, w

w * 9 / 9 = 36 / 9

w = 4 cm

The width of the rectangle is 4 cm so now we just use that to find the perimeter of the rectangle

P = 2(9) + 2(4) = 26 cm

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A rectangle has an area of 96 sq ft if the width of the yard is 4 ft less than the length, what is the perimeter in ft of the ya

Veronika [31]

The area of a rectangle is obtained through the equation,

A = L x W

The width of the yard is 4 ft less than the length and may be expressed as L - 4. Length may be solved through the following steps,

A = (L)(L-4) ; 96 = L(L - 4) ; L = 12 ft

The length and width are 12 ft and 8 ft, respectively. Perimeter may be solved through the equation,

P = 2 x (L + W)

Substituting the values of L and W

P = 2 x ( 12 ft + 8 ft) = 40 ft

Therefore, the perimeter of the yard is 40 ft.

6 0

3 years ago

The width of a rectangle is 4 inches less than the length. The perimeter is 60 inches. Find the length and the

coldgirl [10]

Answer:

Length=17

width=13

Step-by-step explanation:

W=width

L=length

Perimeter = 2w+2l since it's a rectangle

W=l-4 (given)

Plug into perimeter equation

Perimeter =(2l-8)+2l

=4l-8

60=4l-8

68=4l

17 =l

W=l-4=17-4=13

6 0

3 years ago

What is the value of g(2)? Please show work

4vir4ik [10]

By the inequality for x over on the right side if x is equal to or greater than 2 you use the bottom equation.

G(2) means x is 2.

Using the bottom equation replace the x’s with 2 and solve.

X^3 -9x^2 +27x-25

2^3 -9(2)^2+27(2)-25

Simplify:

8 -36 + 54-25 =1

The answer is A. 1

8 0

3 years ago

8. The volume of the pyramid is 168 cubic inches. Find the length of the rectangular base. (3pts)7 inI8 in.

olya-2409 [2.1K]

The length of the rectangular base is 9in

<h3>How to determine the value</h3>

It is important to note that the formula for determining the volume of a pyramid with rectangular base is expressed as;

Volume = lwh/3

Where;

l is the length of the rectangular base of the pyramid
w is the width of the rectangular base of the pyramid
h is the height of the rectangular base of the pyramid

Given the value of the volume, width an height of the pyramid as 168, 7 and 8, we substitute the values, we have;

168 = l × 7 × 8/ 3

cross multiply

l × 7 × 8 = 168(3)

Find the product

56l = 504

To determine the length, divide both sides by 56, we get;

l = 504/ 56

l = 9In

Hence, the value is 9in

Learn more about volume here:

brainly.com/question/463363

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1 year ago

1. To determine simple interest, we use the formula i=prt where i is the interest, p is the principal or initial amount, r is th

Andrews [41]

Step-by-step explanation:

To determine simple interest, we use the formula

$I=Prt$

where I is the interest, p is the principal or initial amount, r is the interest rate is in the unit of years and t is the time in years

When the times is 3 years , then we plug in 3 for 't' directly

$I=Pr(3)\\$

we know that 1 year = 12 months

Suppose, the time is given in months then we divide time 't' by 12

When the times is 4 months , then we plug in 4 for 't' and divide by 12

$I=\frac{Pr(4)}{12}$

we know that 1 year = 365 days

Suppose, the time is given in days then we divide time 't' by 365

When the times is 45 days , then we plug in 45 for 't' and divide by 365

$I=\frac{Pr(45)}{365}$

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3 years ago