Intermediate June 2022 Unit 2 Q5
5. The length of a rectangle is double its width.
The area of the rectangle is greater than 60 cm2.
The perimeter of the rectangle is less than 40 cm.
Give a possible width and length of the rectangle.
Calculate the area and the perimeter of this rectangle.
You must show all your working.
Use the answer spaces to clearly identify which is the area and which is the perimeter. [5]
Width = ………………… cm Length = ………………… cm
Area = ………………… cm2 Perimeter = ………………… cm
| Scheme | Marks | Comments | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Answer lines take precedence | ||||||||||
| length = 2 × width | B1 | Note: correct answer 5·47…(cm) ≤ width ≤ 6·66..(cm) Must be in the correct order for B1. | ||||||||
| Area = width × length | M1 | M1 for using the correct method (not for stating the formula). FT ‘their width’ × ‘their length’. | ||||||||
| Area correctly evaluated AND > 60 (cm2) | A1 | |||||||||
| Perimeter = 2 × (width + length) or equivalent | M1 | M1 for using the correct method (not for stating the formula). FT 2 × (‘their width’ + ‘their length’). | ||||||||
| Perimeter correctly evaluated AND < 40 (cm) | A1 | If answer space is left blank:
Note: (W and L need not be whole numbers)
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