Question

Problem Card 2

Elena is designing a rectangular picture
frame with a lace border. What widths
can Elena choose for the frame? Write an Inequality.
• In order to fit nicely on her desk, the
frame needs to be 7 centimeters in
length.
• She only has 65 centimeters of lace
available to use for the border.

Answer 1

The inequality w+14≤65 represents the situation.

Explanation:

Given,

Length of frame = 7 centimeters

Lace available to use = 65 centimeters

Let,

Width of frame = w

As the frame is rectangular, we will use perimeter of frame.

Perimeter would be less than or equal to 65cm.

`2(Length+Width)\leq 65\\2(7+w)\leq 65\\14+w\leq 65\\w+14\leq 65`

The inequality w+14≤65 represents the situation.