The area of a rectangle is 70 in² and the length of the rectangle is 3 in. longer than the width.
2 answers:
Answer:
w(w+3)= 70
Step-by-step explanation:
Hello
According to the question.
the area is 70 square inches, this means
the length of the rectangle is 3 inch longer than the width
this means that you can take the width and add 3 inches to obtain the length or take the length and subtract 3 inch from it to obtain the width
(1)length = width +3
or
(2)length - 3 = width
now replacing (1) in the area equation
A=length*wide
A=(width +3)*wide
also
A=70 square inches
hence
(width +3)*wide=70
Let
width = w
rewriting
(w+3)*w=70
w(w+3)= 70
I hope it helps, have a great day.
You might be interested in
Answer:
Step-by-step explanation:
→ First understand what Pythagoras theorem is
Pythagoras is a theorem used to find the hypotenuse (the side opposite to the right-angle) of a triangle. We would need the base lengths as well the height in order to use Pythagoras.
→ State the formula and identify the letters
a² + b² = c² ⇒ where 'a' is 380cm, 'b' is 290cm and 'c' is what we are trying to work out
→ Substitute in the values into the formula
380² + 290² = c²
⇒ Simplify
144400 + 84100 = c²
⇒ Collect the numbers together
228500 = c²
⇒ Square root both sides to find 'c'
478.0167361 = c
→ The length of the diagonal is 478.02