Question

Please answer the following questions I'm really confused. Please help me

Answer 1

In the 1st question , we are given with a rectangle whose breadth is 4x and length is 2x+5y and we need to find it's perimeter in simplified form . Now , as we knows that for any rectangle with Length 'l' and breadth 'b' it's perimeter is given by 2(l+b) . Now , applying the same concept in our question , we have

`{:\implies \quad \sf Perimeter=2(2x+5y+4x)}`

`{:\implies \quad \sf Perimeter=2(6x+5y)}`

`{:\implies \quad \sf Perimeter=2* 6x+2* 5y}`

`{:\implies \quad \bf \therefore \quad \underline{\underline{Perimeter=12x+10y}}}`

Now , in 2nd question , we are given That Jeanelle bought 3 chocolate bars more than as of Eashan , and Rameen bought twice as many as Jeanelle . So , now here assume that Eashan bought x chocolate bars . So , Jeanelle have (x+3) bars and Rameen have 2(x+3) bars and all chocolate bars add up to 17 .Now , According to question

`{:\implies \quad \sf x+(x+3)+2(x+3)=17}`

`{:\implies \quad \sf x+x+3+2x+6=17}`

`{:\implies \quad \sf (2x+x+x)+(3+6)=17}`

`{:\implies \quad \sf 4x+9=17}`

Subtracting 9 from both sides

`{:\implies \quad \sf 4x+\cancel{9}-\cancel{9}=17-9}`

`{:\implies \quad \sf 4x=8}`

`{:\implies \quad \sf x=(8)/(4)}`

`{:\implies \quad \bf \therefore \quad \underline{\underline{x=2}}}`

Now ,

• No. of bars Eashan have = x = 2
• No. of bars Jeanelle have = (x+3) = (2+3) = 5
• No. of bars Rameen have =2(x+3) = 2(2+3) = 2(5) = 10