The inside of the tent (represented by the blue area) is set up for a dance floor for you and friends to dance the night away.

The rectangular dance floor is twice as long as it is wide. The tent surrounds the dance floor, leaving some space (7 feet in each direction) for guests to mingle and cool off after dancing. This extra space (represented by the grey area) has an area of 952 square feet. Your task is to find the dimensions of the dance floor.

Question

The inside of the tent (represented by the blue area) is set up for a dance floor for you and friends to dance the night away.

The rectangular dance floor is twice as long as it is wide. The tent surrounds the dance floor, leaving some space (7 feet in each direction) for guests to mingle and cool off after dancing. This extra space (represented by the grey area) has an area of 952 square feet. Your task is to find the dimensions of the dance floor.

anonymous · Answer

attachment

anonymous · Answer

wow that was wrong!

anonymous · Answer

$$(x+14)(2x+14)-x\times 2x=952$$

anonymous · Answer

$$2 x^2+42 x+196-2x^2=952$$
$$42x+196=952$$ two more steps and you are done