Rectangle dimensions

The width of the rectangle is 17 cm smaller than its length. The perimeter of the rectangle measures 0.9 m. Find the remaining dimensions and calculate their area.

Final Answer:

a =  31 cm
b =  14 cm
S =  434 cm2

Step-by-step explanation:


a=17+b
2(a+b)=90

a=17+b
2·(a+b)=90

a-b = 17
2a+2b = 90

Pivot: Row 1 ↔ Row 2
2a+2b = 90
a-b = 17

Row 2 - 1/2 · Row 1 → Row 2
2a+2b = 90
-2b = -28


b = -28/-2 = 14
a = 90-2b/2 = 90-2 · 14/2 = 31

a = 31
b = 14

Our linear equations calculator calculates it.
S=a b=31 14=434 cm2



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