Question

The perimeter of the rectangle below is 16 cm. What is the value of k? 5 cm kcm Not to scale​

Answer 1

To find the value of k, use the formula for the perimeter of a rectangle and solve the equation.

Step-by-step explanation:

To find the value of k, we need to know the dimensions of the rectangle. The perimeter of a rectangle can be calculated by adding the lengths of all its sides. Since a rectangle has two pairs of equal sides, we can express the perimeter as 2 times the length plus 2 times the width: P = 2L + 2W.

In this case, we are given that the perimeter of the rectangle is 16 cm. Let's assume the length of the rectangle is 5 cm and the width is k cm. Using the formula for the perimeter, we can write the equation: 2(5) + 2k = 16.

Simplifying this equation, we get 10 + 2k = 16. Subtracting 10 from both sides, we have 2k = 6. Dividing both sides by 2, we find that k = 3.

Therefore, the value of k is 3 cm.

Answer 2

3 cm.

Step-by-step explanation:

Let's use the formula for the perimeter of a rectangle, which is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.In this case, we have:P = 16 cm (given)

l = k cm (given)

w = 5 cm (given)Substituting these values into the formula, we get:

16 cm = 2(k cm) + 2(5 cm)

Simplifying, we get:

16 cm = 2k cm + 10 cm

Subtracting 10 cm from both sides, we get:6 cm = 2k cm

Dividing both sides by 2, we get:

3 cm = k

Therefore, the value of k is 3 cm.