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HACTEHA [7]
3 years ago
12

the perimeter of a rectangle field is 118m. if the length of the rectangle is 7m less than twice the width what is the length​

Mathematics
2 answers:
djyliett [7]3 years ago
8 0

Let:

P - perimeter

l - length

w - width

We know:

P = 118 m

l = 2w - 7

<h3>Rectangle perimeter's formula:   P = 2l + 2w</h3>

We replace the length with 2w - 7.

P = 2×(2w - 7) + 2w

118 = 4w - 14 + 2w

118 = 6w - 14

6w = 118 + 14

6w = 132

w = 22 meters

Vitek1552 [10]3 years ago
5 0

Answer:

w = 22 l = 37

Explanation:

Perimeter = P

Length = l

Width = w

Formula: P = 2 ( w + l ) + 2w

We know

P = 118

l = 2w - 7

Solve

P = 2 (2w - 7) + 2w

118 = 4w - 14 + 2w

118 = 6w - 14

<u>+14          +14</u>

<u>132</u> = <u>6w</u>

 6       6

w = 22

2(22) - 7

44 - 7 = 37

l = 37

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Read 2 more answers
Find a matrix representation of the transformation L(x, y) = (3x + 4y, x − 2y).
mario62 [17]

Answer:

\left[\begin{array}{cc}x&y\end{array}\right] * \left[\begin{array}{cc}3&1\\4&-2\end{array}\right] = \left[\begin{array}{cc}3x+4y&x-2y\end{array}\right]

Step-by-step explanation:

The general matrix representation for this transformation would be:

\left[\begin{array}{cc}x&y\end{array}\right] * A = \left[\begin{array}{cc}3x+4y&x-2y\end{array}\right]

As the matrix A should have the same amount of rows as columns in the firs matrix and the same amount of columns as the result matrix it should be a 2x2 matrix.

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Solving the matrix product you have that the members of the result matrix are:

3x+4y = a*x + c*y

x - 2y = b*x + d*y

So the matrix A should be:

\left[\begin{array}{cc}3&1\\4&-2\end{array}\right]

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