AB = CD = √8 ≈ 2.8 units
BC = AD = √2 ≈ 1.4 units
Area of the rectangle ABCD = 3.92 units²
Perimeter of the rectangle ABCD = 8.4 units
<h3>How to Find the Area and Perimeter of a Rectangle?</h3>
Given the coordinates of vertices of rectangle ABCD as:
- A(0,2)
- B(2,4)
- C(3,3)
- D(1,1)
To find the area and perimeter, use the distance formula to find the distance between A and B, and B and C.
Using the distance formula, we have the following:
AB = √[(2−0)² + (4−2)²]
AB = √[(2)² + (2)²]
AB = √8 ≈ 2.8 units
CD = √8 ≈ 2.8 units
BC = √[(2−3)² + (4−3)²]
BC = √[(−1)² + (1)²]
BC = √2 ≈ 1.4 units
AD = √2 ≈ 1.4 units
Area of the rectangle ABCD = (AB)(BC) = (2.8)(1.4) = 3.92 units²
Perimeter of the rectangle ABCD = 2(AB + BC) = 2(2.8 + 1.4) = 8.4 units
Learn more about the area and perimeter of rectangle on:
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Answer:
Profit % = 111.1 %
Step-by-step explanation:
Cost of glove = £4
Sales price of glove and skirt = £48
100% profits on the cost of the glove
20% profit on the total cost
Profit on the total cost = 20% = 0.20
Total cost + 0.20 total cost = Sale value
1.20 * total cost = 48
Total cost = 48 / 1.20
Total cost = 40
Cost of the skirt = Total cost - cost of the gloves
Cost of the skirt = 40 - 4
= 36
Price of the skirt = total value - price of the gloves
Total value = £48
100% of £4 = 100/100 * £4
= £4
Profits + cost of glove = $8
Amount remaining = £48 - £8
= £40
Profit percentage on the skirt = price of the skirt / cost of the skirt
= 40 / 36 * 100
= 1.1111 * 100
Profit % = 111.1 %
