The top of a table has dimensions 2 ft by x+3 ft and has an area of 8 ft2 . Which of the following equations can be used to find the value of x for this situation? Responses A 2x+3=8 2 x plus 3 is equal to 8 B 2(x+3)=8 2 times open paren x plus 3 close paren is equal to 8 C 2x+5=8 2 x plus 5 is equal to 8 D 2(2x+3)=8
The top of a table has dimensions 2 ft by x+3 ft and has an area of 8 ft2 . Which of the following equations can be used to find the value of x for this situation? Responses A 2x+3=8 2 x plus 3 is equal to 8 B 2(x+3)=8 2 times open paren x plus 3 close paren is equal to 8 C 2x+5=8 2 x plus 5 is equal to 8 D 2(2x+3)=8
We can find the value of x by using the equation for the area of a rectangle: A = length * width.
In this case, the length is 2 ft and the width is x + 3 ft. The area is given as 8 ft^2.
Therefore, the equation to find x is:
2 * (x + 3) = 8
This simplifies to:
2x + 6 = 8
Subtracting 6 from both sides gives:
2x = 2
Dividing both sides by 2 gives:
x = 1
Therefore, the correct equation to find x is B) 2(x+3)=8.