Rectangle

The rectangle has a perimeter of 75 cm. The diagonal length is 32.5 cm. Determine the length of the sides.

Correct answer:

a =  32.0377 cm
b =  5.4623 cm

Step-by-step explanation:

o=75 cm u=32.5 cm  2a+2b=o a2+b2=u2  a2+(o/2−a)2=u2  a2+(75/2−a)2=32.52 2a2−75a+350=0  p=2;q=−75;r=350 D=q2−4pr=752−4⋅2⋅350=2825 D>0  a1,2​=2p−q±D​​=475±2825​​=475±5113​​ a1,2​=18.75±13.287682 a1​=32.037682266 a2​=5.462317734  a=a1​=32.0377=32.0377 cm

Our quadratic equation calculator calculates it.

b=a2​=5.4623=5.4623 cm

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