Which amount of 1 inch square pieces of chocolate would you

Mathematics

2 answers:

kherson [118]3 years ago

7 0

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nexus9112 [7]3 years ago

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a. Chocolate need to cover a rectangle with a length of 9 in. and a perimeter of 22 inches is 18 pieces of 1 inch square piece chocolates

b.Chocolate need to cover a rectangle with a length of 5 in. and a perimeter of 20 inches is 20 pieces of 1 inch square piece chocolates

Step-by-step explanation

a. To cover a rectangle with a length of 9 in. and a perimeter of 22 in.

perimeter = 2(length+breadth)

Breadth = 22 -9×2 = 22-18 = 4 ÷ 2 = 2 inches

Area of rectangle = 9 × 2 = 18 inches

18 pieces of 1 inch square piece Chocolate is needed to cover the rectangle

b. To cover a rectangle with a length of 5 in. and a perimeter of 20 in.

perimeter = 2(length+breadth)

Breadth = 20 - 5 ×2 = 10 = 10 ÷ 2 = 5 inches

Area of rectangle = 5 × 5 = 20 inches

20 pieces of 1 inch square piece Chocolate is needed to cover the rectangle

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A cable 20 feet long connects the top of a flagpole to a point on the ground that is 16 feet from the base of the pole. How tall

timurjin [86]

Think of it like a triangle.

The flagpole is vertical and is at 90° to the ground. This makes a right-angle to the ground, which is flat.

Since we have two sides of the triangle already, and they are in a ratio of ?? : 16 : 20 = ?? : 4 : 5, that means that because the triangle is a right-angled triangle, the third and last side must be 3 to complete the ratio! (This is called 'Pythagoras')

Since the other sides were divided by 4 to get the simple ratio, we must multiply 3 to get the actual ratio! 3 × 4 = 12 ft tall flagpole.