Julius has a garden that has dimensions of 12 ft by 20 ft. julius needs more room to plant some peppers, and determines the garden will need a new area of 360 square feet. how much should he increase the length and width by, if he wants to increase them by the same amount?

The garden that has dimensions of 12 ft by 20 ft has an area:A = 12  x 20 = 240ft².Julius needs a new area: 360ft²;( 12 + x ) · ( 20 + x ) = 360240 + 12 x + 20 x + x² = 360x² + 32 x + 240 - 320 = 0x² + 32 x - 120 = 0x 1/2 = ( - 32 +/- √( 1024 + 480 ) )/ 2x = ( -32 + 38.78 ) / 2    ( another solution is negative )x = 3.39 ≈ 3.4 ftWe can prove it: A ( new ) = ( 12 + 3.4 ) · ( 20 + 3.4 ) = = 15.4 · 23.4 = 360.34 ≈ 360 ft² He should increase the length and width by the amount of 3.4 ft.