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larisa [96]
3 years ago
12

The perimeter of a rectangle is 42 m. the length of the rectangle is 3 m less than twice the width. Find the length and width of

the rectangle
Mathematics
1 answer:
lisabon 2012 [21]3 years ago
7 0
Area Of Rectangle
= 
2 length × 2 width
= 2 l + 2 w

l = 2 w -3................equation (i)
2 l + 2 w = 42..........equation (ii)

2(2 w -3) + 2 w =42
4 w - 6 + 2 w = 42
4 w + 2 w = 42 + 6
6 w = 48
w =8

l = 2 w - 3
l = 2×8 - 3
l = 13

Length = 13
Width = 8

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GEOMETRY<br><br> *image is attached above*
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Answer:

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Formed by the point that partitions the original segment to create the two partitioned ones

→ (x?, y?)

We can apply this formula and understand how it was derived to figure out where the point of partition is.

Here is the substitution:

x₁ = -10

y₁ = -8

x₂ = -8

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a = 1

b = 3

( \frac{a }{a + b} (x_{2} - x_{1}) + x_{1}, \frac{a}{a + b} (y_{2} - y_{1})+y_{1}). →

( \frac{(1) }{(1) + (3)} ((-8) - (-10)) + (-10), \frac{(1)}{(1) + (3)} ((8) - (-8))+ (-8)) →

( \frac{1}{4} ((-8) - (-10)) + (-10), \frac{1}{4}((8) - (-8)) + (-8)) →

( \frac{1}{4} (2) + (-10), \frac{1}{4}(16) + (-8)) →

( (\frac{1}{2}) + (-10), (4) + (-8)) →

( (-\frac{19}{2}), (-4)) →

( -\frac{19}{2}, -4) →

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