Rectangle - area, perimeter

The area of a rectangular field is equal to 300 square meters. Its perimeter is equal to 70 meters. Find the length and width of this rectangle.

Correct result:

a =  20 m
b =  15 m

Solution:

S=300 m2 p=70 m S=ab p=2(a+b)  300=ab 35=a+b  a(35a)=300  a2+35a300=0 a235a+300=0  p=1;q=35;r=300 D=q24pr=35241300=25 D>0  a1,2=q±D2p=35±252 a1,2=35±52 a1,2=17.5±2.5 a1=20 a2=15   Factored form of the equation:  (a20)(a15)=0  a=a1=20=20 m

Our quadratic equation calculator calculates it.

b=a2 b=35a=3520=15 m



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