3. The length of a rectangle is 7 mm longer than its width. Its perimeter is more than 62 mm. Let w equal the width of the rectangle.

a. Write an expression for the length in terms of the width.

b. Use these expressions to write an inequality based on the given information.

c. Solve the inequality, clearly indicating the width of the rectangle

Question

Mathematics

Guest

5 June, 05:20

3. The length of a rectangle is 7 mm longer than its width. Its perimeter is more than 62 mm. Let w equal the width of the rectangle.

a. Write an expression for the length in terms of the width.

b. Use these expressions to write an inequality based on the given information.

c. Solve the inequality, clearly indicating the width of the rectangle

+4

Answers (1)

Know the Answer?

Jingles · Answer 1

So,

Let l represent the length of the rectangle.

The first statement translates to:

l = 7 + w

The second statement translates to:

2l + 2w > 62

a. The first statement is the answer to this question: l = 7 + w

b. Since the question asks us to write AN inequality, we will "combine" the two equations by substitution.

2 (7 + w) + 2w > 62

14 + 2w + 2w > 62

14 + 4w > 62

c. Now, all we have to do is solve the inequality.

Subtract 14 from both sides.

4w > 48

Divide both sides by 4.

w > 12

The width of the rectangle must be strictly greater than 12 mm.