Answer:
[tex]l \: = 13 \: cm \\ b = 8 \: cm[/tex]
Step-by-step explanation:
Perimeter=2(l+w)
L = let us use 5 cm as length because rectangle is 5 cm longer than its broad.
Its perimeter is 26 cm.
put the values you know in the formula I.e.
26 cm = 2(5 cm +w)
rearrange the formula to make the width subject of the formula.
26 cm = (2×5 cm) + (2×w)
26 cm = 10 cm + 2w
take 10 cm to the other side. so it will get subtraction sign
[tex]26 \: cm - 10 \: cm \: = 2w[/tex]
16 cm = 2w
take the constant 2 to other side and keep only the variable w on that side to get its value.
[tex]16 \: cm \div 2 = w[/tex]
8 cm = w
Therefore,
the length is 13 cm because whatever the breath is the length will be 5 cm more than breath.
[tex]l = 5 + 8 \: cm = 13 \:cm \\ w = 8cm[/tex]
