Question

The perimeter of rectangle QRST is the same as the perimeter of Rectangle LMNP. The length of Rectangle QRST is 2x + 9 meters. What is the width, in meters, of rectangle QRST?

Answer 1

width of rectangle QRST= (5x-7)meters

Explanation:

For LMNP rectangle,

Perimeter= 2(3x+5+4x-3)

=2(7x+2)

=14x+4

Now for QRST Rectangle,

perimeter of QRST rectangle= perimeter of LMNP rectangle (from question)

so,we have:

perimeter of QRST Rectangle= 14x+4

2(2x+9+w)= 14x+4 (let,w= width of rectangle QRST)

4x+18+2w=14x+4

2w=10x-14

w=(5x-7) m

Hence,the width of Rectangle QRST is (5x-7)m.

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