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vladimir1956 [14]
2 years ago
10

I’m not really sure how to work this out can someone plssss help me

Mathematics
1 answer:
Blizzard [7]2 years ago
6 0

Answer:

Perimeter of the rectangle=Perimeter of the trapezium

2{(3x+4)+(4x)}=2(5x)+(x-3)+(7x-3)

→2(7x+4)=10x+x-3+7x-3

→14x+8=18x-6

→4x=14

→x=7/2

<u>→</u><u>x=3.5</u>

The value of x is <u>3.5 cm</u>

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Width of the sports field = At least 60 yards

Area of the sports field = 240 - 400x square yards

We can conclude the shape of the sports field is rectangular.

2. Find the dimensions of the sports field.

A. We need to find the Greatest Common factor between 240 and 400, this way:

The factors of 240 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240 .

The factors of 400 are: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400 .

Then the greatest common factor is 80.

This GCF is also higher than 60, therefore it's one of the dimensions of the sports field.

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