Question

The perimeter of a rectangle is 160 cm. The rectangle is 4 times longer than wide. What are the length and width of this rectangle? A) l=65;b=16 B) l=16;b=64 C) l=64;b=16 D) l=16;b=48

Answer 1

Answer: the length of the rectangle is 64 cm and the width is 16 cm. So the correct answer is C) l=64; b=16.

Explanation:

To find the length and width of the rectangle, we can use the information given in the question.

Let's denote the width of the rectangle as 'w'. Since the length is stated to be 4 times longer than the width, we can express the length as '4w'.

The perimeter of a rectangle is calculated by adding up the lengths of all four sides. In this case, the perimeter is given as 160 cm.

We can set up the equation:

2(length + width) = perimeter

Substituting the values we have:

2(4w + w) = 160 cm

Simplifying the equation:

2(5w) = 160 cm

10w = 160 cm

Dividing both sides by 10:

w = 16 cm

Now that we have the width, we can find the length by multiplying the width by 4:

length = 4w = 4(16 cm) = 64 cm