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AfilCa [17]
3 years ago
5

A rectangle has vertices a(1,2), B(1,7), c(4,7), d(4,2). what is the perimiter of the rectangle

Mathematics
2 answers:
aliina [53]3 years ago
7 0

Answer:

16

Step-by-step explanation:

You see, if you were to plot these points, (1, 2) and (1, 7) would be 5 points away from each other. If you were to plot the points (4, 2) and (4, 7) those points would also be 5 points away from each other. Now, (1, 2) and (4, 2) are 3 points apart as well as (1, 7) and (4, 7). Therefore, 5 + 5 = 10, 3 + 3 = 6, and finally, 10 + 6 = 16!

mote1985 [20]3 years ago
6 0

Answer:

16

Step-by-step explanation:

as you can see on the picture, perimeter of the rectangle is <em>5 + 5 + 3 + 3  = 16 </em>

or second practical solving way ;

B(1,7) - A(1,2) = 5

C(4,7) - D(4,2) = 5

C(4,7) - B(1,7) = 3

D(4,2) - A(1,2) = 3

<em>5 + 5 + 3 + 3 = 16</em>

<em></em>

Hope this helps ^-^

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the height of a triangle is 9m less than its base. the area of the triangle is 56 m^2 find the length of the base (SHOW STEPS)
Veronika [31]
Hey there :)

We know the area formula of a triangle
\frac{1}{2} (base)(height)

We are given:
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The base = let p represent this
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Apply the formula
56 = \frac{1}{2} × ( p ) × ( p - 9 )
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Divide \frac{1}{2} on both sides
56 ÷ \frac{1}{2} = p² - 9p
112 = p² - 9p

Bring 112 to the other side and equate equation to 0
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Factorise { Sum = -9 , Product = - 112 , therefore suitable factors = - 16 × 7 )
( p - 16 )( p + 7 ) = 0
     ↓          ↓
 p = 16    p = - 7  ←  Reject p = - 7 since length cannot be negative

So, the length  of the base is 16 m

Check:
56 m² = \frac{1}{2} × 16 × ( 16 - 9 )
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3 years ago
A short-course meter pool is 25 meters long. A short-course yard pool is 25 yards long. Which one is longer and by how much (in
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Answer:

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2 years ago
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