Find the perimeter of the rectangle shown One side has length 3\" while the diag

Question

Find the perimeter of the rectangle shown One side has length 3" while the diagonal has length 5". The perimeter of an isosceles triangle is 32 cm. If the length of the base is 8 cm. find the length of each leg. The area of a quadrilateral whose diagonals are perpendicular is given by A = 1/2. d_1. d_2. For which type(s) of quadrilateral can this formula be used...rectangle, rhombus, kite, trapezoid? Find the area of a rhombus whose diagonals measure 8 feet and 12 feet. The 16 inch diagonal of a kite separates the 21 inch diagonal into parts measuring 6 inches and 15 inches. Find the perimeter of the kite. Find the area of a trapezoid with bases of lengths 12 inches and 8 inches and an altitude of length 6 inches.

Explanation / Answer

Solution:

25

Since rectangle has 90 degree on each 4 angle

therefore it form right angle triangle for its diagonal

hence let height h = 3 given and hypotenuse( diagonal ) = 5

other side by pythagorus theorem can be calculated

b^2 + 3^2 = 5^2

b^2 = 16

b=4

therefore

perimeter = 2 ( b+h) = 2 * (4+3) = 14

answer

(26)

as we know that in isosceles triangle two sides are equal therefore

let lenth of equal sides are = a

therefore

perimeter = a + a + b = 32 ( Given)

2a +8 =32

a = 24/2

a = 12

therefore

a = 12 , a = 12 , b = 8

answer

(27)

It can be used for quadrilateral Rectangle , Rhombus and kite .

because their diagonals are perpendicular to each other

(28)

Since diagonals are perpendicular for rhoumbus

area of rhombus = 1/2 x (diagonal D1) and ( Diagonal D2)

= 1/2 x 8 x 12

= 48 feet^2

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