Construction workers are installing a rectangular, in-ground pool. To start, they dig a rectangular hole in the ground where the pool will be. The area of the ground that they will be digging up is 276 square feet. The length of the pool is twice the width of the pool. What are the dimensions of the pool? Round to the nearest tenth.

Width = 11.7 feet (To 1 decimal place)

Length = 23.5 feet (To 1 decimal place)

Step-by-step explanation:

w = Width

2w= Length

Area of rectangle = length * width

2w * w = 276

(Simplify expression)

2w² = 276

(Divide both sides by 2)

w² = 138

(Square root both sides to isolate w)

w = √138

w = 11.7473401245

w = 11.7 feet ( 1 decimal place)

2 ×11.7473401245 = 23.4946802489

Length = 23.5 feet (To 1 decimal place)

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.