Question

A rectangle is to be made with perimeter 100meter and area 525squre meters. What should be the length of its sides?​

Answer 1

Step-by-step explanation:

Solve for length

l=35m

or

15m

P Perimeter

100

m

A Area

525

m²

Using the formulas

A=wl

P=2(l+w)

There are 2 solutions forl

l=P

4+1

4P2﹣16A=100

4+1

4·1002﹣16·525=35m

l=P

4﹣1

4P2﹣16A=100

4﹣1

4·1002﹣16·525=15m

Answer 2

Step-by-step explanation:

Rectangle

Solve for length

l=35m

or

15m

P Perimeter

100

m

A Area

525

m²

Using the formulas

A=wl

P=2(l+w)

There are 2 solutions forl

l=P

4+1

4P2﹣16A=100

4+1

4·1002﹣16·525=35m

l=P

4﹣1

4P2﹣16A=100

4﹣1

4·1002﹣16·525=15m

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