Answer:
2700
Step-by-step explanation:
Perimeter of rectangle= 2(length +breadth)
2(length +breadth)= 210
length +breadth= 210 ÷2
length +breadth= 105
Since the length of the rectangle is usually taken to be the longer side of the rectangle,
length: breadth= 4: 3
[tex] \frac{length}{breadth} = \frac{4}{3} [/tex]
[tex]length = \frac{4}{3} (breadth)[/tex]
[tex] \frac{4}{3} (breadth) + breadth = 105[/tex]
[tex] \frac{7}{3} (breadth) = 105[/tex]
breadth
[tex] = 105 \div \frac{7}{3} [/tex]
[tex] = 10 5\times \frac{3}{7} [/tex]
= 45
length +breadth= 105
length +45= 105
length
= 105 -45
= 60
Area of rectangle
= length ×breadth
= 45 ×60
= 2700
