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jeka57 [31]
2 years ago
9

Claire bought just enough fencing to enclose either a rectangular garden or a triangular garden, as shown. The two gardens have

the same perimeter. How many feet of fencing did she buy?

Mathematics
2 answers:
gulaghasi [49]2 years ago
6 0
She bought 124 feet of fencing. Hope it helped!
alekssr [168]2 years ago
3 0

Answer:

<h2><em><u>124</u></em></h2>

Step-by-step explanation:

<em><u>Given</u></em><em><u>,</u></em>

Perimeter of fencing bought by Claire for rectangular garden

= 2(4x - 4 + x - 4)

= 2 ( 5x - 8 )

= 10x - 16

Perimeter of fencing bought by Claire for triangular garden

= (3x - 1) + (3x - 1) + 3x

= 3x + 3x + 3x - 1 - 1

= 9x - 2

<em><u>Since</u></em><em><u>,</u></em>

The two gardens have same perimeter,

<em><u>By</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>problem</u></em><em><u>,</u></em><em><u> </u></em>

10x - 16 = 9x - 2

=> 10x - 9x = 16 - 2

=> x = 14

<em><u>Hence</u></em><em><u>,</u></em>

<em><u>Feet</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>fencing</u></em><em><u> </u></em><em><u>bought</u></em><em><u> </u></em><em><u>by</u></em><em><u> </u></em><em><u>her</u></em><em><u>,</u></em>

Putting value in any of the perimeters of the gardens,

10x - 16

= 10(14) - 16

= 140 - 16

= <em><u>124 feet (Ans)</u></em>

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