The length of a rectangle is 5 more than twice the width. Express the Perimeter and Area of the rectangle as a binomial.

The perimeter is 6w + 10   and the area is 2 + 5w and they are all expressed as a binomial. d

Step-by-step explanation:

The statement says that the length is 5 more than twice the width, and we will represent that by the equation   L = 2w + 5 where L is length and w is the width.

We know that to find the Perimeter of a rectangle we will add twice the length plus twice the width.

The length is 2w +5 and the width is w.

Perimeter=  2l + 2w

Perimeter = 2(2w+5) + 2(w)

Perimeter = 4w + 10 + 2w   This is a trinomial , so convert it into a binomial by combining like terms.

Perimeter =  6w + 10  

The perimeter of the rectangle will be 6w +10 .

Now we know to find the area of a rectangle we will have to multiply the length by the width.

Multiply the length by the width.

Area=(w)(2w+5)

Area = 2w^2 + 5w  

The area will also be  2w^2  +5w.  

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!