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Mathematics

1 answer:

BabaBlast [244]3 years ago

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64 POINTS AWARDED, PLEASE ANSWER ASAP!!!!!

antoniya [11.8K]

Answer:

Area of rectangle = 40 square units

Step-by-step explanation:

Points to remember

Distance formula

Length of a line segment with end points (x₁, y₁) and (x₂, y₂) is given by,

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Area of rectangle = Length * Breadth

To find the length and breadth

Here a rectangle with vertices at (7, 3), (12, 3), (12, 11), and (7, 11)

Length1 = √[(x₂ - x₁)² + (y₂ - y₁)²]

√[(12 - 7)² + (3 - 3)²] = √5² = 5

Length2 = √[(x₂ - x₁)² + (y₂ - y₁)²]

√[(12 - 12)² + (11 - 3)²] = √8² = 8 units

Therefore Length of rectangle = 8 and

Breadth of rectangle = 5 units

To find the area of rectangle

Area = Length * Breadth

= 8 * 5 = 40 square units

8 0

3 years ago

Read 2 more answers

A 90 oz. bottle of shampoo is sold for $18.95. What is the price per ounce

Veseljchak [2.6K]

This sets up as a very commonly used proportion.

90 oz / 18.95 = 1 oz / x Cross multiply

90 x = 18.95 Divide by 90

x = 18.95 / 90

x = 0.21 dollars or 21 cents.

So each ounce of shampoo costs 0.21 dollars or 21 cents.

This is a very handy way to check best deals. Stores have trained us for years to believe that the more we buy of a brand, the better the price. It isn't always true. Sometimes buying the smaller quantity is the better deal. There is only one way to be sure and that's to do a proportion like this one.

Try this is an example. The same company makes a smaller container of shampoo of 45 oz for 9.15. How much is 1 oz and which is the better deal? You should get 0.20333 dollars so this is marginally (just) the better deal.

4 0

3 years ago

Find the area of the parallelogram that has a base of 4m and a height of 5.5m.

Sveta_85 [38]

Answer:

22m²

Step-by-step explanation:

Area of parallelogram is simply the base length x height.

In this case, base length = 4m and height = 5.5m

hence,

Area = 4 x 5.5 = 22m²

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