Two sides of a rectangle are in the ratio 3:4. If the longer side is 20 cm, what is the perimeter of the rectangle?

The perimeter of the rectangle is 70 cm

Step-by-step explanation:

Let us use the ratio method to solve the question

∵ Two sides of a rectangle are in the ratio 3 : 4

→ Let the width is the shorter side and the length is the longer side

∴ The ratio between the width and the length is 3 : 4

∵ The longer side is 20 cm

∴ The length of the rectangle = 20 cm

→ By using the ratio method

→  width  :  length

→  3          :  4

→  w         :  20

→ By using cross multiplication

∵ w × 4 = 3 × 20

∴ 4w = 60

→ Divide both sides by 4

∴ w = 15

∴ The width of the rectangle = 15 cm

∵ The perimeter of the rectangle = 2(length + width)

∴ The perimeter of the rectangle = 2(20 + 15)

∴ The perimeter of the rectangle = 2(35)

∴ The perimeter of the rectangle = 70 cm

∴ The perimeter of the rectangle is 70 cm

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.