The length of a rectangle is 7 more than the width. The area is 744 sqaure yards, find the length and width of the rectangle

Mathematics

1 answer:

Lina20 [59]3 years ago

4 0

The length of rectangle is 31 yards and width is 24 yards.

Step-by-step explanation:

Given,

Width of rectangle = w

Length of rectangle = w+7

Area of rectangle = 744 square yards

Area = Length * width

$744=w(w+7)\\744=w^2+7w\\0=w^2+7w-744\\w^2+7w-744=0$

Factorizing the equation

$w^2+31w-24w-744=0\\w(w+31)-24(w+31)=0\\(w+31)(w-24)=0$

Either,

w+31=0, =>w= -31

Or,

w-24=0 =>w=24

As width cannot be negative, therefore,

Width = 24 yards

Length = w+7 = 24+7 = 31 yards

The length of rectangle is 31 yards and width is 24 yards.

Keywords: area, rectangle

Learn more about rectangles at:

#LearnwithBrainly

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