226k views
1 vote
A rectangle has an area of 40,if the length and width are doubled. What is the new area ?

User Arunvg
by
4.8k points

2 Answers

3 votes

Answer:

160

Explanation:

e.g. 5×8 --> 10×16 =160

4×10 --> 8×20 =160

2×20 --> 4×40 =160

User Kalamar Obliwy
by
5.1k points
2 votes

160

When you double both the length and width, you are multiplying by 2 twice. Whatever you do to one side of an equation, you have to repeat on the other.

l * w = 40; This is the original equation.

2l * 2w = 40 * 2 * 2; This is when you double the length and the width.

The 2 * 2 on the end can be simplified.

2l * 2w = 40 * 4

Now, simplify 40 * 4.

2l * 2w = 160

So, when you double both the length and the width, you multiply the area by 4, making the area 160.

User BenjaminBallard
by
5.0k points