Answer:
Step-by-step explanation:
We are given the length of the whole line and its two halves. Since JK and KL make up the line JL, adding them together would make the line JL.
Now we can plug the value of back into the expression we were given for the line KL.
Answer:
49+56x+16 ft squared.
Step-by-step explanation:
Alright, so we are given that we have a rug that has a side of 7x+4 feet. With this information, we are able to determine the area of the square rug. Considering that it is a square rug, all the sides are equal to each other because a square has four equal sides and angles.
To solve this, you can do it in two ways.
One, write it as (7x+4)2. That 2 is supposed to represent squared.
If you know the rule, this is a perfect square trinomial.
The formula is a squared plus 2ab plus b squared. 7 and 4 are your a and b values. 7x squared is 49x squared and 4 squared is 16.
2ab, multiply 2 times 7x times 4. That is 56x.
Therefore, the area is 49xsquared plus 56x+16.
Another way is to write it like this (7x+4) (7x+4).
Since it is an exponent, we are multiplying the same thing two times. Apply the Distributive Property.
E.G. 2(x+5)= 2x+10.
With this, you are distributing two numbers into another two numbers. 7x times 7x is 49x squared and 7x times 4 is 28x. Then, go to 4. 4 times 7x is also 28 x and 4 times 4 is 16. Now, combine the like terms. 49x squared plus 28x plus 28x or 56x plus 16.
This represents your area.
I hope this helps, and I hope you have a good day!
