Answer:

130cm

Step-by-step explanation:

area of rectangle is =L×B

=26×5

=130cm

Verified answer

[tex] \sf{ \underline{Given \: that}}[/tex]

• [tex] \sf{length \: of \: rectangle \: = 5 + breadth}[/tex]
• [tex] \sf{perimeter \: = 26cm}[/tex]

[tex]\sf{ \underline{Find \: that}}[/tex]

• [tex] \sf{Area \: of \: rectangle}[/tex]

[tex]\sf{Perimeter = 2(l + b)}[/tex]

[tex]\sf{ 2(5 + b + b)}[/tex]

[tex]\sf{ 2(5 + 2b)}[/tex]

[tex]\sf{ 26 = 10 + 4b}[/tex]

[tex]\sf{ 26 - 10 = 4b}[/tex]

[tex]\sf{ \dfrac{16}{4} = b }[/tex]

[tex]\sf{breadth \: = 4cm}[/tex]

According to the question Length = 5 + breadth

→ Length = 5+4

→ Length = 9 cm

[tex] \sf{Area \: = l \times b}[/tex]

[tex]\sf{ 9 \times 5 = 45 {cm}^{2} }[/tex]

• So the answer is 45 cm²