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EastWind [94]
2 years ago
12

The length of a rectangle is 2 more than twice the width. The area of the

Mathematics
1 answer:
vlada-n [284]2 years ago
8 0

Answer: w=5 , L= 2+2(5)=12

Step-by-step explanation:

L=2+2W

A= 60

LxW=60, now we will replace the L

(2+2W)(W)=60   we multiply

2w^2+2w=60

2w^2+2w-60=0  we divide by 2 the equation so we can work easier

w^2+w-30=0

find out w using the quadratic equation

we will get 2 solution,

w=5 and another solution is -6, which is not valid, as the side can not be negative

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azamat

Answer:

4

Step-by-step explanation:

Order of operations multiplication then subtraction so 5*6=30

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8 0
2 years ago
A poster is to have a total area of 125 cm2. There is a margin round the edges of 6 cm at the top and 4 cm at the sides and bott
jeka57 [31]

Answer:

The correct answer is 15 cm.

Step-by-step explanation:

Let the width of the required poster be a cm.

We need to have a 6 cm margin at the top and a 4 cm margin at the bottom. Thus total margin combining top and bottom is 10 cm.

Similarly total margin combining both the sides is (4+4=) 8 cm.

So the required printing area of the poster is given by {( a-10 ) × ( a - 8) } cm^{2}

This area is equal to 125 cm^{2} as per as the given problem.

∴ (a - 10) × (a - 8) = 125

⇒ a^{2} - 18 a +80 -125 =0

⇒ a^{2} - 18 a -45 = 0

⇒ (a-15) (a-3) = 0

By law of trichotomy the possible values of a are 15 and 3.

But a=3 is absurd as a > 4.

Thus the required answer is 15 cm.

7 0
3 years ago
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