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VARVARA [1.3K]
3 years ago
8

The length of a rectangle is 3 feet more than twice the width. The perimeter is 128 feet. Find the length and width.

Mathematics
1 answer:
iragen [17]3 years ago
7 0
We are going to consider a rectangle with length called "a" and width "b"  Then we know that perimeter is the sum of both sides 2*a + 2*b = 128  And also the following equation given by the question: a = 2*b + 3  So solving the first equation: 2*(2*b+3) + 2*b = 128 4*b+6+2*b=128 6*b = 122 b = 122/6 = 61/3  Then a=2*122/6+3 = 244/6+3 = 262/6 = 131/3  Solution:  Length = 131/3 Width = 61/3
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The diagonal of the rectangle is 15 cm and one of its sides is 9 cm. find the area of the rectangle.
Tems11 [23]

The area of the rectangle is 108 square centimeters.

Given Information

The following information has been given in the question,

Length of the diagonal of the rectangle, l = 15 cm

Length of one of the sides of the rectangle, a = 9 cm

Let the other side of the rectangle be b.

Finding the Other Side of the Rectangle

According to Pythagoras Theorem,

(hypotenuse)² = (base)² + (perpendicular)²

Applying this theorem in the right-angle triangle formed by the diagonal and 9cm side of the rectangle, we get,

l² = a² + b²  [∵ The diagonal makes the hypotenuse]

(15)² = (9)² + b²

b² = (15)² - (9)²

b² = 225 - 81

b² = 144

b = √144

b = 12 cm

Calculating the Area of the Rectangle

Area of the rectangle, A = a × b

A = 9 × 12

A = 108 cm²

Learn more on a rectangle here:

brainly.com/question/15019502

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5 0
1 year ago
Factor −5x2 + 10x.<br><br> −5x(x + 2)<br> 5(−x2 + 10x)<br> 5x(−x + 2)<br> x(5x + 10)
Hitman42 [59]

{ \red{ \bold{option \: (c)}}}

Step-by-step explanation:

{ \purple{ \tt{ { - 5x}^{2}  + 10x}}}

Take { \purple{ \tt{5x}}}as common. Then,

{ \purple{ \tt{5x( - x + 2)}}}

4 0
1 year ago
Jessica earned $16 mowing a neighbor's yard. She bought a craft kit for $7.37. She used $3.75 to buy food for a food drive. She
iogann1982 [59]

Answer:

$4.88

Step-by-step explanation:

Jessica made $16 mowing a neighbors yard

She brought a craft kit for $7.37

16-7.37

= 8.63

She used $3.75 to buy food for a food drive

8.63-3.75

= 4.88

Hence the amount Jessica put in the savings account is $4.88

4 0
2 years ago
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If ABC company make 95 million a year how much money would it make in 9 days
faust18 [17]
1. Divide 95 million by the amount of days in a year

95 million divided by 365 = $260273.97

$260273.97 is made in a day.

Multiply it by 9.

So, 260273.97 x 9 = $2342465.75

$2342465.75 is made in 9 days.

5 0
3 years ago
Jackie found the area of a square to be 25/16 square feet.Which shows the side length of the square?
svlad2 [7]

The side length is the square root of the area, so is ...

... √(25/16 ft²) = (√25)/(√16) ft = 5/4 ft

4 0
3 years ago
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