Question

Plz help

Answer 1

Answer:

See below.

Step-by-step explanation:

Rectangle PQRS is the shape in neon green. The area is b*h with base 7 and height 2. The area is 14.

Square ABCD is the shape in black. The area is s^2 with side 4. The area is 16.

Triangle EFG is the shape in purple. The area is 1/2 b*h with base 8 and height 4. The area is 1/2 *8*4 = 16.

Triangle UVW is the shape in pink. The area is 1/2 b*h with base 7 and height 4. The area is  1/2 * 7*4 = 14.

Answer 2

Answer:  The area of triangle UVW is 14 sq. units, area of triangle EFG is 16 sq. units, area of square ABCD is 16 sq. units and area of rectangle PQRS is 14 sq. units.

Step-by-step explanation:  We are given to find the area of all the four figures shown on the co-ordinate plane.

From the figure, we note that

the figure UVW and EFG are right-angled triangles, ABCD is a square and PQRS is a rectangle.

Now, we know that

If b and h denotes the base length and height of a right-angled triangle, then its area is given by

$A=\dfrac{1}{2}bh.$

If l denotes the side length of a square, then its area is given by

$A=l^2.$

If l and w denotes the length and width of a rectangle, then its area is given by

$A=lw.$

(1) Area of triangle UVW :  

Here, b = VW = 7 and h = UW = 4.

So, area is given by

$A=\dfrac{1}{2}bh=\dfrac{1}{2}\times7\times4=14~\textup{sq. units}.$

(2) Area of triangle EFG :  

Here, b = GF = 8 and h = EF = 4.

So, area is given by

$A=\dfrac{1}{2}bh=\dfrac{1}{2}\times8\times4=16~\textup{sq. units}.$

(3) Area of  square ABCD :  

Here, l = 4.

So, area is given by

$A=l^2=4^2=16~\textup{sq. units}.$

(4) Area of rectangle PQRS :  

Here, l = 7 and w = 2.

So, area is given by

$A=lw=7\times2=14~\textup{sq. units}.$

Thus, the area of triangle UVW is 14 sq. units, area of triangle EFG is 16 sq. units, area of square ABCD is 16 sq. units and area of rectangle PQRS is 14 sq. units.