A rectangular lawn measures 7m by 5m. A uniform border of flowers is to be planted along two adjacent sides of the lawn, as shown in the diagram. If the flowers that have been purchased will cover an area of 6.25 m^2, how wide is the border?

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Mathematics

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14 May, 16:54

A rectangular lawn measures 7m by 5m. A uniform border of flowers is to be planted along two adjacent sides of the lawn, as shown in the diagram. If the flowers that have been purchased will cover an area of 6.25 m^2, how wide is the border?

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Adriana Molina · Answer 1

let the width of the strip x in meters

we need to find the value of x

Dimensions of the new lawn are given as

(7+x) by (5+x)

Area of the lawn is given as

6.25m^2

(7+x) (5+x) = 6.25

35 + 12x + x^2 = 6.25

x^2 + 12x+28.75 = 0

In the above equation the values are given as

a = 1, b=12, c=28.75

put these values in quadratic equation and you will get the answer.