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Dmitrij [34]
2 years ago
9

Mitra created a mosaic design using square 2x2 cm white tiles and 2x3 cm rectangular centimeter black tiles. She used twice as m

any white tiles as black tiles. The finished pattern was 1092 square centimeters in area. How many rectangular tiles did she use?
Mathematics
1 answer:
zvonat [6]2 years ago
3 0

Mitra used 156 white tiles of 2x2 cm and 76 black tiles of 2x3 cm to form a pattern with an area of 1092 cm²

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the number of white tiles and y represent the number of black tiles.

Area of white tiles = 2 cm * 2 cm = 4 cm²

Area of black tiles = 2 cm * 3 cm = 6 cm²

She used twice as many white tiles as black tiles. Hence:

x = 2y   (1)

Also, the finished pattern was 1092 square centimeters in area. Hence:

4x + 6y = 1092   (2)

From both equations:

x = 156, y = 78

Mitra used 156 white tiles of 2x2 cm and 76 black tiles of 2x3 cm to form a pattern with an area of 1092 cm²

Find out more on equation at: brainly.com/question/2972832

#SPJ1

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