84 sq. units
9*sqrt(3)= 15.588 sq units (to 3 dp)
56 sq. units A = 1/2 Base x Height A = 1/2 (7 x 16)
Without further information it is impossible to say exactly what the base and height are:area_triangle = 1/2 x base x height→ height = 2 x area_triangle ÷ base= 2 x 22 sq units ÷ base= 44 sq units ÷ baseSo for any base > 0 units a corresponding height will be found, eg:base = 1 unit → height= 44 sq units ÷ 1 unit = 44 unitsbase = 2 units → height= 44 sq units ÷ 2 units = 22 unitsbase = 44 units → height= 44 sq units ÷ 44 units = 1 unitbase = 88 units → height= 44 sq units ÷ 88 units =1/2 unitetcAll those triangles above have an area of 22 sq units.
Any positive value upto 0.36 square units. A 0.6 x 0.6 square will have the maximum area of 0.36 sq units; a 0.5 x 0.7 rectangle will have an area of 0.35 sq units, and the area will be reduced as you reduce one of the measures and increase the other so that their sum remains 1.2 units so that the perimeter is 2.4 units. 0.1x1.1 will be 0.11 sq units 0.01x1.19 will be 0.0119 sq units 0.001x1.199 will be 0.001199 sq units 0.0001x1.1999 will be 0.00011999 sq units, etc.
There is no triangle below. But, given that area = 224 sq units and height = 14 units, then base = 224/14 = 16 units.
A triangle with sides of 50, 50 and 60 units has an area of 1200 sq units.
84 sq. units
16.97 sq units (approx).
9*sqrt(3)= 15.588 sq units (to 3 dp)
56 sq. units A = 1/2 Base x Height A = 1/2 (7 x 16)
Without further information it is impossible to say exactly what the base and height are:area_triangle = 1/2 x base x height→ height = 2 x area_triangle ÷ base= 2 x 22 sq units ÷ base= 44 sq units ÷ baseSo for any base > 0 units a corresponding height will be found, eg:base = 1 unit → height= 44 sq units ÷ 1 unit = 44 unitsbase = 2 units → height= 44 sq units ÷ 2 units = 22 unitsbase = 44 units → height= 44 sq units ÷ 44 units = 1 unitbase = 88 units → height= 44 sq units ÷ 88 units =1/2 unitetcAll those triangles above have an area of 22 sq units.
Any positive value upto 36 square units. A 6x6 square will have the maximum area of 36 sq units; a 5x7 rectangle will have an area of 35 sq units, and the area will be reduced as you reduce one of the measures and increase the other so that their sum remains 12 units so that the perimeter is 24 units. 1x11 will be 11 sq units 0.1x11.9 will be 1.19 sq units 0.01x11.99 will be 0.1199 sq units 0.001x11.999 will be 0.011999 sq units, etc.
Any positive value upto 0.36 square units. A 0.6 x 0.6 square will have the maximum area of 0.36 sq units; a 0.5 x 0.7 rectangle will have an area of 0.35 sq units, and the area will be reduced as you reduce one of the measures and increase the other so that their sum remains 1.2 units so that the perimeter is 2.4 units. 0.1x1.1 will be 0.11 sq units 0.01x1.19 will be 0.0119 sq units 0.001x1.199 will be 0.001199 sq units 0.0001x1.1999 will be 0.00011999 sq units, etc.
A perimeter is not enough to determine the area. It depends on the shape. The shape has the greatest area if it is a circle and then the area will be 143.73 square units (approx). If it a square, the area will be 112.890625 sq units. But the area can be reduced, without limit, by making the shape longer and thinner. For example, 20*1.25 rectangle: area = 25 sq units 21*0.25 rectangle: area = 5.25 sq units 21.2*0.05 rectangle: area = 1.06 sq units 21.24*0.001 rectangle: area = 0.2124 sq units etc
Plotting the coordinates it is an isosceles triangle with equal sides of 13 and a base of 4*sq rt of 13 with a height of 3*sq rt of 13 Area = 0.5*(4*sq rt of 13)*(3*sq rt of 13) = 78 square units
area = ½ × sum_of_parallel_sides × perpendicular_distance_between_them → 234 sq units = ½ × (20 units + 32 units) × x → x × 26 units = 234 sq units → x = 234 sq units ÷ 26 units → x = 9 units