Answer:
D
Step-by-step explanation:
Please look at the attached picture for full solution.
Method 1 is using the shoelace method to find the area of the rectangle. Shoelace method can be used to find the areas of any polygons given their coordinates. The coordinates have to be taken in an anticlockwise order and ending with the first coordinate.
Method 2 is making use of the distance formula of two points. The formula is as shown below:
Having found the distance of the length and breadth of the rectangle, you can now find its area since area of rectangle= length × breadth.
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➷ Writing it out like this will help:
7 : 3 : 2
? : 3.75 : ?
So, 3.75 is 3 parts as per this ratio
Divide this amount by 3 to get 1 part in the ratio
3.75 / 3 = 1.25
Now simply multiply all the other ratios by this value to find how much the others get:
1.25 x 7 = 8.75
1.25 x 2 = 2.5
Paula gets £8.75 and Henry gets £2.50
The amount altogether would be their individual amounts added together:
8.75 + 2.50 + 3.75 = 15
The total amount of money is £15.
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➶ Hope This Helps You!
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Answer:
1). Area = 37 cm²
2). Area = 120 cm²
Step-by-step explanation:
Figures in the picture attached are the examples of composite figures.
1). Area of the composite figure = Area of rectangle A + Area of rectangle B
Since area of rectangle = Length × width
Area of rectangle A = 8 × 2 = 16 cm²
Area of rectangle B = 3 × 7 = 21 cm²
Area of the composite figure = 16 + 21 = 37 cm²
2). Area of the composite figure = Area of C + Area of D
= (3×4) + (9×12)
= 12 + 108
= 120 cm²
Answer:
x= 4 x = -5
Step-by-step explanation:
3(x – 4)(x + 5) = 0
Using the zero product property
(x – 4)=0 (x + 5) = 0
x= 4 x = -5
