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

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step-by-step explanation: