Question

The length of a rectangle is 7 feet longer than it is wide. If each side is increased 7 feet, then the area is multiplied by 2. What was the size of the original rectangle?

Answer 1

I think you have to multiply 14×7×2 and you will get the answer 140+56=196

Answer 2

Let width of rectangle is x feet

length will be x+7 feet

area of rectangle =length x width

area of rectangle =x(x+7)

now as per given conditions if 7 feet is increased area will be 4 times

new width =x+7

length =x+7+7=x+14

new area will be =(x+7)(x+14)

as per given conditions

(x+7)(x+14)=4x(x+7)

x^2+21x+98=4x^2+28x

0=4x^2+28x-x^2-21x-98

3X²+7x-98=03x²-14x+21x-98=0

x(3x-14)+7(3x-14)=0

x+7=0 or 3x-14=0

x=-7 0r x=14/3 feet

neglecting negative 7 as dimension can not be negative

width =14/3 feet

and length=14/3+7=35/3 feet

∴ length will be =35/3 feet

width will be =14/3 feet.

What is rectangle?

A rectangle is composed of two sides: length (L) and width (W). The length of a rectangle is the longest side, whereas the width is the shortest side. The width of a rectangle is sometimes referred to as the breadth (b).

What shape is a rectangle?

A rectangle is an oblong. It has two pairs of parallel sides and four right angles. A rectangle can also be known as an equiangular quadrilateral. This is because a rectangle is a quadrilateral shape (4-sided shape) that has parallel sides, equal to one another, and all 4 corners have angles that are 90º.

What is the simple definition of a rectangle?

A parallelogram all of whose angles are right angles especially : one with adjacent sides of unequal length.

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