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cestrela7 [59]
3 years ago
14

A rectangle’s width is one-fourth of its length. Its area is 9 square units. The equation l(l) = 9 can be used to find l, the le

ngth of the rectangle.
What is the length of the rectangle?

0.75 units
1.5 units
3 units
6 units
Mathematics
1 answer:
Natalka [10]3 years ago
3 0

Answer:

6 units

Step-by-step explanation:

The formula for the area of a rectangle = Length × Width

A rectangle’s width is one-fourth of its length.

W = 1/4 × L

W = L/4

Cross Multiply

L = 4W

A = 9 square units

Hence

9 = L × W

We substitute 4W for L

9 = 4W × W

9 = 4W²

We square root both side

√9 = √4W²

3 = 2W

W = 3/2

W = 1 1/2 unit or 1.5 units

Solving for L = Length

9 = L × W

9 = L × 1.5

L = 9/1.5

L = 6 units

Therefore, the Length of the rectangle = 6 units

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kolezko [41]

Answer:

a = 3

Step-by-step explanation:

Calculate the distance d using the distance formula and equate to 4

d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = (2, - 1) and (x₂, y₂ ) = (2, a)

d = \sqrt{(2-2)^2+(a+1)^2} = \sqrt{0+(a+1)^2} = \sqrt{(a+1)^2} = a + 1 then

a + 1 = 4 ( subtract 1 from both sides )

a = 3

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2 years ago
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Answer:

x = -52

Step-by-step explanation:

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2 years ago
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Answer:

a) 22:53

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Step-by-step explanation:

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2 years ago
In 1955 an antique car that originally cost 3,943 is valued at 64,125 if in excellent condition, winch is 2 1/4 times as much as
nika2105 [10]

Answer:

The value of the car in very nice condition is $28,500.

Step-by-step explanation:

Consider the provided information.

In 1955 an antique car that originally cost 3,943 is valued at 64,125 if in excellent condition, winch is 2 1/4 times as much as a car in very nice condition.

The mixed fraction can be written as:

2 \frac{1}{4}=\frac{9}{4}

Let x is the value of car in very nice condition.

64,125 =\frac{9}{4}x

x=\frac{64,125\times 4}{9}

x=28,500

Hence, the value of the car in very nice condition is $28,500.

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Priyanka is trying to find the area of this rectangle she already measured one side 10 cm which other lengths could she measure
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She could measure the next length to the left or right and she will have all 4 sides because a rectangle has 2 sets of equal sides.
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3 years ago
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