Square has side length centimeters. Square has side lengths that are twice as long as those of square . What is the area, in square centimeters, of square ?
For square and rectangle problems, first identify how any side lengths change, then apply the area formula. Remember that if all side lengths are multiplied by a factor (like 2), the area is multiplied by the square of that factor (like ). This is faster and reduces errors compared to guessing or doing multiple unnecessary steps.
Hints
Relate the side lengths of the two squares
First figure out the side length of square B if each side of square A is 5 cm and the sides of B are twice as long.
Recall the area formula for a square
What is the formula that gives the area of a square in terms of its side length?
Apply the formula to square B
Once you know the side length of square B, plug it into the area formula and simplify.
Desmos Guide
Compute the area with an expression
In Desmos, type (2*5)^2 to represent the side of square B (twice 5) squared. The value that Desmos outputs is the area of square B in square centimeters.
Step-by-step Explanation
Find the side length of square B
Square A has side length 5 cm. Square B has side lengths that are twice as long.
So the side length of square B is:
Use the area formula for a square
The area of a square with side length is given by:
For square B, cm.
Calculate the area of square B
Now square the side length of square B:
So the area of square B is 100 square centimeters.