The width of a rectangular card is 2 cm lekss than the Tength. The area is 15 cm. Find the length and

Mathematics

1 answer:

Yuri [45]3 years ago

5 0

Answer:

Step-by-step explanation:

Area A = 15square cm

Length L = x

Width w = x - 2

Area = L × w

15 = x(x - 2)

15 = x^2 -2x

x^2 -2x - 15 = 0

Solving by factorization

x^2 - 5x + 3x - 15 = 0

(x^2 -5x) + (3x -15) = 0

x(x - 5) + 3(x - 5) = 0

(x + 3)(x - 5) = 0

(x + 3) = 0 or (x - 5) = 0

x = -3 or 5

Since x can't be negative therefore x is 5cm

Length = 5cm

Width = 5-2 = 3cm

You might be interested in

The amount of corn chips in a 16-ounce bag by the dispensing machine has a normal distribution with a mean of 16.5 ounces and a

Elenna [48]

Answer: 1+1=2

Step-by-step explanation: Imagine you have 1 cookie, and a friend gives you 1 more, that means your total amount of cookies is 2. So that proves that 1+1=2!

8 0

2 years ago

What is the least prime number greater than 50?

uysha [10]

A prime number is a number that has only two factors: 1 and itself
For example, the number 7 has two factors: 1,7 This makes 7 a prime number
Since the number has to be greater than 50, we can go to the next whole number; 51
51 has four factors, 1,3,17,51 This is not our prime number
52 is even so obviously it's not prime because you can divide by two
53 has only two factors; 1,53 This means that its prime and the answer is 53 :)
If you have any questions feel free to ask

3 0

3 years ago

Read 2 more answers

What is the measure of ∠EGF? __

Ray Of Light [21]

Answer:

∠EGF = 1/2( 180 - 50) = 1/2(130) = 65

∠CGF = 180 - 65 = 115.

Step-by-step explanation:

5 0

2 years ago

Rectangle WXYZ with y axis<br>