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a rectangle has a perimeter of (26x+16)cm and an area of (42x^2+51x+15)cm^2. find the dimensions of the rectangle in terms of x.

The dimensions are:

by

Step-by-step explanation:

The area of the rectangle is given as

The factored form of this quadratic trinomial gives the dimensions of the rectangle.

We factor 3 first to obtain;

We split the middle term to get;

We factor within the parenthesis to get;

We factor further to get;

The dimensions are:

by

Then the perimeter will be

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

= ← substitute values

= ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2