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The sides of a rectangle are in the ratio 4 : 3. If the perimeter of the rectangle is 210, find its area

Sagot :

Leora03

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

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