The foundation of the house is 13 m x 7 m if the builder increases each dimension by the same amount the area of the foundation will increase to 135 m² find the new dimensions

New dimension:

Length = 15m

Width = 9m

Step-by-step explanation:

Length = 13m

Width = 7m

Area of a rectangle = length × width

New dimensions:

Length = (13 + x)m

Width = (7 + x)m

Where,

x = increase in each dimension

Area of a rectangle = length × width

(13 + x) × (7 + x) = 135

91 + 13x + 7x + x² = 135

91 + 20x + x² = 135

x² + 20x = 135 - 91

x² + 20x = 44

x² + 20x - 44 =0

Using factorization method to solve quadratic equation

x² - 2x + 22x - 44 = 0

x(x -2) + 22(x - 2) = 0

(x - 2) (x + 22) = 0

x = 2 , x = -22

The increase can not be a negative value

Therefore, the increase in the dimensions is 2 inches

New dimensions:

Length = (13 + x)m

= (13+2)m

= 15m

Width = (7 + x)m

= (7+2)m

= 9m

i believe the correct answer is option 4.principalities were small territories that were run by russian rulers.

which statement correctly defines principalities in northern asia in the 1200s? principalities were small territories that were run by russian rulers.

hope i could ! : )