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"Shape" is too general of a term. More information is needed to solve. What kind of shape is it? Triangle, rectangle? is it a regular polygon?

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Q: How do you find the perimeter of a shape when only the base and area are given?

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It is: perimeter minus hypotenus+base = height Area = 0.5*base*height

The surface area of a right prism is the sum of the areas of all its faces. The formula for calculating the surface area of a right prism is 2 × (base area) + (lateral area), where the base area is the area of the base shape and the lateral area is the sum of the areas of the remaining faces. The lateral area can also be calculated by multiplying the perimeter of the base shape by the height of the prism.

surface area=(perimeter of base)x(height of the shape)+(area of the base)x(2)

Since the perimeter of the base is 20 and the height of the shape is 2, we can find the area of the sides by multiplying these together. 20 x 2 = 40 The area of the top and base are given as 50 square units each, so we add 2 lots of 50. 40 + 50 + 50 = 140 square units.

If the shape is a rectangle...We know that the AREA equals BASE x WIDTH ... A equals B*WIf we divide both sides by B we get: W equals A/BWe know that the PERIMETER equals ( 2 x BASE ) + ( 2 x WIDTH ) ... P equals 2B+2WWe can substitute W in the perimeter formula as follows:P equals 2B+2WP equals 2B+(2*A/B)So... if you know the Base and Area, you should now use this new formula to get the Perimeter.

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It is: perimeter minus hypotenus+base = height Area = 0.5*base*height

The surface area of a right prism is the sum of the areas of all its faces. The formula for calculating the surface area of a right prism is 2 × (base area) + (lateral area), where the base area is the area of the base shape and the lateral area is the sum of the areas of the remaining faces. The lateral area can also be calculated by multiplying the perimeter of the base shape by the height of the prism.

surface area=(perimeter of base)x(height of the shape)+(area of the base)x(2)

Since the perimeter of the base is 20 and the height of the shape is 2, we can find the area of the sides by multiplying these together. 20 x 2 = 40 The area of the top and base are given as 50 square units each, so we add 2 lots of 50. 40 + 50 + 50 = 140 square units.

To find area given perimeter, rename perimeter to circumference and solve with these formulas: Circumference = 2πr (or 2 * π * r) Area = πr^2 (or π * r * r) With these the area can be found from circumference(or perimeter) as follows: A = π(C / 2π)^2 Now, to find the perimeter given the area; We use A = πr^2 and rearrange then solve: r = √(A / π) So, the circumference would be 2πr = 2π√(A / π)

If the shape is a rectangle...We know that the AREA equals BASE x WIDTH ... A equals B*WIf we divide both sides by B we get: W equals A/BWe know that the PERIMETER equals ( 2 x BASE ) + ( 2 x WIDTH ) ... P equals 2B+2WWe can substitute W in the perimeter formula as follows:P equals 2B+2WP equals 2B+(2*A/B)So... if you know the Base and Area, you should now use this new formula to get the Perimeter.

Of a square? (area/height=base) Of a triangle? ({area/height}/2=base) Or of some other shape?

If the shape in question is a triangle, then Area = 0.5 * Base * Height So Height = 2 * Area / Base

Height = (Perimeter/2) - Base

For the perimeter add up all the lengths of the sides. The area is a bit more complicated as it depends upon the shape. However, by dividing any shape up into smaller shapes, the area for which can be found (eg rectangles: area = length × width; triangles: area = ½ × base × height), the area of the original shape can be calculated as the sum of these areas.

It depends upon the shape. For example, if it is a parallelogram, then divide the area by the height to get the base.

That they could be congruent if they have the same interior angles