Daniel made a bench that has a seat with an area of 16 square ft the length and the width of the seat are whole numbers the length is 4 times greater than the width what are the dimensions of the seat select the length and width A. 2 ft B. 4 ft C. 6 ft D.8 ft E.16 ft

The width is option (A) 2 ft and the length is option (D) 8 ft

Step-by-step explanation: The bench has been constructed and we have been given  the area as 16. So we already know that

Area = L x W

16 = L x W

Also we have been given that the length is 4 times greater than the width. This means if the width is W, then the length would be 4 time W, which is 4W.

Therefore, having known the area as 16 square feet, the equation becomes;

16 = 4W x W

16 = 4W²

We add the square root sign to both sides of the equation and we have

√16 = √4W²

4 = 2W

Divide both sides of the equation by 2,

2 = W

With the width now known as 2 ft, the length which had been determined as 4W now becomes

Length = 4(2)

Length = 8

Therefore, the length is 8 ft, and the width is 2 ft.

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

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step-by-step explanation:

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