the rectangle shown has a perimeter of 70cm and the given area. It’s length is 8 more than twice it’s width. Write and solve a s

Question

3 years ago

6

ystem of equations to find the dimensions of the rectangle

1 answer:

vfiekz [6] · Answer 1 · 2021-12-16T06:59:47+03:00

Dimensions of rectangle are:

Length = 26 cm

Width = 9 cm

Step-by-step explanation:

Perimeter of rectangle = 70 cm

Width= x

Length = 2x+8

We need to find the value of length and width of rectangle.

The formula used is:

$Periemter\,\,of\,\,rectangle=2(Length+Width)$

Putting values:

$Periemter\,\,of\,\,rectangle=2(Length+Width)\\70=2(2x+8+x)\\70=2(3x+8)\\70=6x+16\\70-16=6x\\54=6x\\x=54/6\\x=9$

So, Value of Width = x = 9 cm

Value of Length = 2x+8 = 2(9)+8 = 18+8=26 cm

So Dimensions of rectangle are:

Length = 26 cm

Width = 9 cm

Keywords: Perimeter of rectangle

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