The length of a rectangle is 4 ya more than twice the width x. the area is 510 yd^2. find the dimensions of the given shape

The dimensions of the rectangle are

length = 34 yards

width = 15 yards

Step-by-step explanation:

Given:

The shape is of rectangle,

Width of rectangle = x

Area of rectangle = 510 yd²

According to the given condition

Length of rectangle = 4 + 2x

To Find:

length =?

Width = ?

Solution:

We know that,

On substituting the given values we get

Which is a quadratic equation so we will apply splitting the middle term that is factorization we get

∴

∴ Width  x = 15 yard

∴ Length = 4 + 2x = 4 +2 × 15 = 34 yard

The dimensions of the rectangle are

length = 34 yards

width = 15 yards

Step-by-step explanation:

First, create an equation for the price of the car for both dealerships:

Dealership A:   y = 150x + 2500

Dealership B:   y = 125x + 3000

where y is the total cost of the car and x is the number of months that have passed.

You know that y is equal to "150x + 2500" AND y is equal to "125x + 3000," so "150x + 2500" must be equal to "125x + 3000"

Now, just solve for x to find the number of months at which the total amount paid would be the same for both dealers:

So, after 20 months, the price of the car at both dealerships is the same. To find that price, just plug in 20 for x in one of the equations (because x was the number of months):

So, the car costs the same after 20 months, $5500 at either dealership.

Step-by-step explanation: